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Finding the Fourth Proportional to 5,034.68, 7,553.28 and 1,747.80

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Solution

The fourth proportional to 5,034.68, 7,553.28 and 1,747.80 is: 2,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.68 : 7,553.28 = 1,747.80 : x
  2. Step 2: Convert to fraction form
    5,034.68/7,553.28 = 1,747.80/x
  3. Step 3: Cross multiply
    5,034.68x = 7,553.28 × 1,747.80
  4. Step 4: Simplify right side
    5,034.68x = 13,201,635.83
  5. Step 5: Solve for x
    x = 13,201,635.83/5,034.68
  6. Step 6: Final answer
    x = 2,622.14

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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.