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Finding the Fourth Proportional to 7,189.43, 9,921.92 and 4,002.98

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Solution

The fourth proportional to 7,189.43, 9,921.92 and 4,002.98 is: 5,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.43 : 9,921.92 = 4,002.98 : x
  2. Step 2: Convert to fraction form
    7,189.43/9,921.92 = 4,002.98/x
  3. Step 3: Cross multiply
    7,189.43x = 9,921.92 × 4,002.98
  4. Step 4: Simplify right side
    7,189.43x = 39,717,177.70
  5. Step 5: Solve for x
    x = 39,717,177.70/7,189.43
  6. Step 6: Final answer
    x = 5,524.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.