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Finding the Fourth Proportional to 3,754.24, 5,631.72 and 980.90

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Solution

The fourth proportional to 3,754.24, 5,631.72 and 980.90 is: 1,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.24 : 5,631.72 = 980.90 : x
  2. Step 2: Convert to fraction form
    3,754.24/5,631.72 = 980.90/x
  3. Step 3: Cross multiply
    3,754.24x = 5,631.72 × 980.90
  4. Step 4: Simplify right side
    3,754.24x = 5,524,154.15
  5. Step 5: Solve for x
    x = 5,524,154.15/3,754.24
  6. Step 6: Final answer
    x = 1,471.44

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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.