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Finding the Fourth Proportional to 3,729.47, 5,592.96 and 1,507.73

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Solution

The fourth proportional to 3,729.47, 5,592.96 and 1,507.73 is: 2,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.47 : 5,592.96 = 1,507.73 : x
  2. Step 2: Convert to fraction form
    3,729.47/5,592.96 = 1,507.73/x
  3. Step 3: Cross multiply
    3,729.47x = 5,592.96 × 1,507.73
  4. Step 4: Simplify right side
    3,729.47x = 8,432,673.58
  5. Step 5: Solve for x
    x = 8,432,673.58/3,729.47
  6. Step 6: Final answer
    x = 2,261.09

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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.