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Finding the Fourth Proportional to 5,630.80, 7,761.97 and 3,739.04

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Solution

The fourth proportional to 5,630.80, 7,761.97 and 3,739.04 is: 5,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.80 : 7,761.97 = 3,739.04 : x
  2. Step 2: Convert to fraction form
    5,630.80/7,761.97 = 3,739.04/x
  3. Step 3: Cross multiply
    5,630.80x = 7,761.97 × 3,739.04
  4. Step 4: Simplify right side
    5,630.80x = 29,022,316.31
  5. Step 5: Solve for x
    x = 29,022,316.31/5,630.80
  6. Step 6: Final answer
    x = 5,154.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.