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Finding the Fourth Proportional to 3,753.54, 5,630.56 and 980.30

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Solution

The fourth proportional to 3,753.54, 5,630.56 and 980.30 is: 1,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.54 : 5,630.56 = 980.30 : x
  2. Step 2: Convert to fraction form
    3,753.54/5,630.56 = 980.30/x
  3. Step 3: Cross multiply
    3,753.54x = 5,630.56 × 980.30
  4. Step 4: Simplify right side
    3,753.54x = 5,519,604.91
  5. Step 5: Solve for x
    x = 5,519,604.91/3,753.54
  6. Step 6: Final answer
    x = 1,470.51

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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.