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Finding the Fourth Proportional to 5,668.33, 7,823.25 and 3,651.16

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Solution

The fourth proportional to 5,668.33, 7,823.25 and 3,651.16 is: 5,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.33 : 7,823.25 = 3,651.16 : x
  2. Step 2: Convert to fraction form
    5,668.33/7,823.25 = 3,651.16/x
  3. Step 3: Cross multiply
    5,668.33x = 7,823.25 × 3,651.16
  4. Step 4: Simplify right side
    5,668.33x = 28,563,937.47
  5. Step 5: Solve for x
    x = 28,563,937.47/5,668.33
  6. Step 6: Final answer
    x = 5,039.22

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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.