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Finding the Fourth Proportional to 3,761.46, 5,641.91 and 1,681.58

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Solution

The fourth proportional to 3,761.46, 5,641.91 and 1,681.58 is: 2,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.46 : 5,641.91 = 1,681.58 : x
  2. Step 2: Convert to fraction form
    3,761.46/5,641.91 = 1,681.58/x
  3. Step 3: Cross multiply
    3,761.46x = 5,641.91 × 1,681.58
  4. Step 4: Simplify right side
    3,761.46x = 9,487,323.02
  5. Step 5: Solve for x
    x = 9,487,323.02/3,761.46
  6. Step 6: Final answer
    x = 2,522.24

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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.