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Finding the Fourth Proportional to 5,002.50, 7,487.46 and 2,659.14

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Solution

The fourth proportional to 5,002.50, 7,487.46 and 2,659.14 is: 3,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.50 : 7,487.46 = 2,659.14 : x
  2. Step 2: Convert to fraction form
    5,002.50/7,487.46 = 2,659.14/x
  3. Step 3: Cross multiply
    5,002.50x = 7,487.46 × 2,659.14
  4. Step 4: Simplify right side
    5,002.50x = 19,910,204.38
  5. Step 5: Solve for x
    x = 19,910,204.38/5,002.50
  6. Step 6: Final answer
    x = 3,980.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.