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Finding the Fourth Proportional to 5,002.62, 6,906.36 and 3,115.83

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Solution

The fourth proportional to 5,002.62, 6,906.36 and 3,115.83 is: 4,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.62 : 6,906.36 = 3,115.83 : x
  2. Step 2: Convert to fraction form
    5,002.62/6,906.36 = 3,115.83/x
  3. Step 3: Cross multiply
    5,002.62x = 6,906.36 × 3,115.83
  4. Step 4: Simplify right side
    5,002.62x = 21,519,043.68
  5. Step 5: Solve for x
    x = 21,519,043.68/5,002.62
  6. Step 6: Final answer
    x = 4,301.55

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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.