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Finding the Fourth Proportional to 5,078.88, 7,631.10 and 3,230.82

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Solution

The fourth proportional to 5,078.88, 7,631.10 and 3,230.82 is: 4,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.88 : 7,631.10 = 3,230.82 : x
  2. Step 2: Convert to fraction form
    5,078.88/7,631.10 = 3,230.82/x
  3. Step 3: Cross multiply
    5,078.88x = 7,631.10 × 3,230.82
  4. Step 4: Simplify right side
    5,078.88x = 24,654,710.50
  5. Step 5: Solve for x
    x = 24,654,710.50/5,078.88
  6. Step 6: Final answer
    x = 4,854.36

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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.