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Finding the Fourth Proportional to 3,639.74, 5,461.24 and 1,691.70

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Solution

The fourth proportional to 3,639.74, 5,461.24 and 1,691.70 is: 2,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.74 : 5,461.24 = 1,691.70 : x
  2. Step 2: Convert to fraction form
    3,639.74/5,461.24 = 1,691.70/x
  3. Step 3: Cross multiply
    3,639.74x = 5,461.24 × 1,691.70
  4. Step 4: Simplify right side
    3,639.74x = 9,238,779.71
  5. Step 5: Solve for x
    x = 9,238,779.71/3,639.74
  6. Step 6: Final answer
    x = 2,538.31

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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.