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Finding the Fourth Proportional to 3,753.76, 5,630.97 and 980.41

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Solution

The fourth proportional to 3,753.76, 5,630.97 and 980.41 is: 1,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.76 : 5,630.97 = 980.41 : x
  2. Step 2: Convert to fraction form
    3,753.76/5,630.97 = 980.41/x
  3. Step 3: Cross multiply
    3,753.76x = 5,630.97 × 980.41
  4. Step 4: Simplify right side
    3,753.76x = 5,520,659.30
  5. Step 5: Solve for x
    x = 5,520,659.30/3,753.76
  6. Step 6: Final answer
    x = 1,470.70

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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.