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Finding the Fourth Proportional to 5,488.70, 8,245.46 and 3,932.15

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Solution

The fourth proportional to 5,488.70, 8,245.46 and 3,932.15 is: 5,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.70 : 8,245.46 = 3,932.15 : x
  2. Step 2: Convert to fraction form
    5,488.70/8,245.46 = 3,932.15/x
  3. Step 3: Cross multiply
    5,488.70x = 8,245.46 × 3,932.15
  4. Step 4: Simplify right side
    5,488.70x = 32,422,354.14
  5. Step 5: Solve for x
    x = 32,422,354.14/5,488.70
  6. Step 6: Final answer
    x = 5,907.12

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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.