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Finding the Fourth Proportional to 3,681, 5,517.84 and 1,729.74

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Solution

The fourth proportional to 3,681, 5,517.84 and 1,729.74 is: 2,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681 : 5,517.84 = 1,729.74 : x
  2. Step 2: Convert to fraction form
    3,681/5,517.84 = 1,729.74/x
  3. Step 3: Cross multiply
    3,681x = 5,517.84 × 1,729.74
  4. Step 4: Simplify right side
    3,681x = 9,544,428.56
  5. Step 5: Solve for x
    x = 9,544,428.56/3,681
  6. Step 6: Final answer
    x = 2,592.89

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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.