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Finding the Fourth Proportional to 3,569.47, 5,354.51 and 1,229.08

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Solution

The fourth proportional to 3,569.47, 5,354.51 and 1,229.08 is: 1,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.47 : 5,354.51 = 1,229.08 : x
  2. Step 2: Convert to fraction form
    3,569.47/5,354.51 = 1,229.08/x
  3. Step 3: Cross multiply
    3,569.47x = 5,354.51 × 1,229.08
  4. Step 4: Simplify right side
    3,569.47x = 6,581,121.15
  5. Step 5: Solve for x
    x = 6,581,121.15/3,569.47
  6. Step 6: Final answer
    x = 1,843.73

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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.