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Finding the Fourth Proportional to 3,694.29, 5,542.76 and 1,585.03

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Solution

The fourth proportional to 3,694.29, 5,542.76 and 1,585.03 is: 2,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.29 : 5,542.76 = 1,585.03 : x
  2. Step 2: Convert to fraction form
    3,694.29/5,542.76 = 1,585.03/x
  3. Step 3: Cross multiply
    3,694.29x = 5,542.76 × 1,585.03
  4. Step 4: Simplify right side
    3,694.29x = 8,785,432.96
  5. Step 5: Solve for x
    x = 8,785,432.96/3,694.29
  6. Step 6: Final answer
    x = 2,378.11

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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.