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Finding the Fourth Proportional to 4,507.61, 6,761.42 and 1,585.23

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Solution

The fourth proportional to 4,507.61, 6,761.42 and 1,585.23 is: 2,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.61 : 6,761.42 = 1,585.23 : x
  2. Step 2: Convert to fraction form
    4,507.61/6,761.42 = 1,585.23/x
  3. Step 3: Cross multiply
    4,507.61x = 6,761.42 × 1,585.23
  4. Step 4: Simplify right side
    4,507.61x = 10,718,397.90
  5. Step 5: Solve for x
    x = 10,718,397.90/4,507.61
  6. Step 6: Final answer
    x = 2,377.85

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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.