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Finding the Fourth Proportional to 5,801.65, 8,001.12 and 4,682.23

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Solution

The fourth proportional to 5,801.65, 8,001.12 and 4,682.23 is: 6,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.65 : 8,001.12 = 4,682.23 : x
  2. Step 2: Convert to fraction form
    5,801.65/8,001.12 = 4,682.23/x
  3. Step 3: Cross multiply
    5,801.65x = 8,001.12 × 4,682.23
  4. Step 4: Simplify right side
    5,801.65x = 37,463,084.10
  5. Step 5: Solve for x
    x = 37,463,084.10/5,801.65
  6. Step 6: Final answer
    x = 6,457.32

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Half scale
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Double scale
Find fourth proportional to 5,802.65, 8,002.50 and 4,683.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.