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Finding the Fourth Proportional to 5,793.28, 7,991.76 and 3,695.20

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Solution

The fourth proportional to 5,793.28, 7,991.76 and 3,695.20 is: 5,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.28 : 7,991.76 = 3,695.20 : x
  2. Step 2: Convert to fraction form
    5,793.28/7,991.76 = 3,695.20/x
  3. Step 3: Cross multiply
    5,793.28x = 7,991.76 × 3,695.20
  4. Step 4: Simplify right side
    5,793.28x = 29,531,151.55
  5. Step 5: Solve for x
    x = 29,531,151.55/5,793.28
  6. Step 6: Final answer
    x = 5,097.48

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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.