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Finding the Fourth Proportional to 3,738.27, 5,608.09 and 1,547.17

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Solution

The fourth proportional to 3,738.27, 5,608.09 and 1,547.17 is: 2,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.27 : 5,608.09 = 1,547.17 : x
  2. Step 2: Convert to fraction form
    3,738.27/5,608.09 = 1,547.17/x
  3. Step 3: Cross multiply
    3,738.27x = 5,608.09 × 1,547.17
  4. Step 4: Simplify right side
    3,738.27x = 8,676,668.61
  5. Step 5: Solve for x
    x = 8,676,668.61/3,738.27
  6. Step 6: Final answer
    x = 2,321.04

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