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Finding the Fourth Proportional to 5,438.71, 8,155.52 and 3,187.92

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Solution

The fourth proportional to 5,438.71, 8,155.52 and 3,187.92 is: 4,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.71 : 8,155.52 = 3,187.92 : x
  2. Step 2: Convert to fraction form
    5,438.71/8,155.52 = 3,187.92/x
  3. Step 3: Cross multiply
    5,438.71x = 8,155.52 × 3,187.92
  4. Step 4: Simplify right side
    5,438.71x = 25,999,171.92
  5. Step 5: Solve for x
    x = 25,999,171.92/5,438.71
  6. Step 6: Final answer
    x = 4,780.39

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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.