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Finding the Fourth Proportional to 3,901.52, 5,854.59 and 1,438.07

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Solution

The fourth proportional to 3,901.52, 5,854.59 and 1,438.07 is: 2,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.52 : 5,854.59 = 1,438.07 : x
  2. Step 2: Convert to fraction form
    3,901.52/5,854.59 = 1,438.07/x
  3. Step 3: Cross multiply
    3,901.52x = 5,854.59 × 1,438.07
  4. Step 4: Simplify right side
    3,901.52x = 8,419,280.97
  5. Step 5: Solve for x
    x = 8,419,280.97/3,901.52
  6. Step 6: Final answer
    x = 2,157.95

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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.