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Finding the Fourth Proportional to 5,034.80, 7,552.56 and 1,747.48

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Solution

The fourth proportional to 5,034.80, 7,552.56 and 1,747.48 is: 2,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.80 : 7,552.56 = 1,747.48 : x
  2. Step 2: Convert to fraction form
    5,034.80/7,552.56 = 1,747.48/x
  3. Step 3: Cross multiply
    5,034.80x = 7,552.56 × 1,747.48
  4. Step 4: Simplify right side
    5,034.80x = 13,197,947.55
  5. Step 5: Solve for x
    x = 13,197,947.55/5,034.80
  6. Step 6: Final answer
    x = 2,621.34

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