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Finding the Fourth Proportional to 6,400.54, 8,832.52 and 3,747.90

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Solution

The fourth proportional to 6,400.54, 8,832.52 and 3,747.90 is: 5,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.54 : 8,832.52 = 3,747.90 : x
  2. Step 2: Convert to fraction form
    6,400.54/8,832.52 = 3,747.90/x
  3. Step 3: Cross multiply
    6,400.54x = 8,832.52 × 3,747.90
  4. Step 4: Simplify right side
    6,400.54x = 33,103,354.45
  5. Step 5: Solve for x
    x = 33,103,354.45/6,400.54
  6. Step 6: Final answer
    x = 5,171.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.