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Finding the Fourth Proportional to 4,987.48, 7,471.02 and 4,002.52

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Solution

The fourth proportional to 4,987.48, 7,471.02 and 4,002.52 is: 5,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.48 : 7,471.02 = 4,002.52 : x
  2. Step 2: Convert to fraction form
    4,987.48/7,471.02 = 4,002.52/x
  3. Step 3: Cross multiply
    4,987.48x = 7,471.02 × 4,002.52
  4. Step 4: Simplify right side
    4,987.48x = 29,902,906.97
  5. Step 5: Solve for x
    x = 29,902,906.97/4,987.48
  6. Step 6: Final answer
    x = 5,995.59

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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.