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Finding the Fourth Proportional to 5,046.32, 7,559.16 and 2,447.12

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Solution

The fourth proportional to 5,046.32, 7,559.16 and 2,447.12 is: 3,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.32 : 7,559.16 = 2,447.12 : x
  2. Step 2: Convert to fraction form
    5,046.32/7,559.16 = 2,447.12/x
  3. Step 3: Cross multiply
    5,046.32x = 7,559.16 × 2,447.12
  4. Step 4: Simplify right side
    5,046.32x = 18,498,171.62
  5. Step 5: Solve for x
    x = 18,498,171.62/5,046.32
  6. Step 6: Final answer
    x = 3,665.68

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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.