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Finding the Fourth Proportional to 5,229.65, 7,845.54 and 4,706.81

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Solution

The fourth proportional to 5,229.65, 7,845.54 and 4,706.81 is: 7,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.65 : 7,845.54 = 4,706.81 : x
  2. Step 2: Convert to fraction form
    5,229.65/7,845.54 = 4,706.81/x
  3. Step 3: Cross multiply
    5,229.65x = 7,845.54 × 4,706.81
  4. Step 4: Simplify right side
    5,229.65x = 36,927,466.13
  5. Step 5: Solve for x
    x = 36,927,466.13/5,229.65
  6. Step 6: Final answer
    x = 7,061.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.