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Finding the Fourth Proportional to 5,001.77, 7,500 and 2,229.29

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Solution

The fourth proportional to 5,001.77, 7,500 and 2,229.29 is: 3,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.77 : 7,500 = 2,229.29 : x
  2. Step 2: Convert to fraction form
    5,001.77/7,500 = 2,229.29/x
  3. Step 3: Cross multiply
    5,001.77x = 7,500 × 2,229.29
  4. Step 4: Simplify right side
    5,001.77x = 16,719,675
  5. Step 5: Solve for x
    x = 16,719,675/5,001.77
  6. Step 6: Final answer
    x = 3,342.75

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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.