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Finding the Fourth Proportional to 3,609.52, 5,414.30 and 1,557.52

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Solution

The fourth proportional to 3,609.52, 5,414.30 and 1,557.52 is: 2,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.52 : 5,414.30 = 1,557.52 : x
  2. Step 2: Convert to fraction form
    3,609.52/5,414.30 = 1,557.52/x
  3. Step 3: Cross multiply
    3,609.52x = 5,414.30 × 1,557.52
  4. Step 4: Simplify right side
    3,609.52x = 8,432,880.54
  5. Step 5: Solve for x
    x = 8,432,880.54/3,609.52
  6. Step 6: Final answer
    x = 2,336.29

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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.