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Finding the Fourth Proportional to 5,652.20, 7,799.72 and 3,134.17

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Solution

The fourth proportional to 5,652.20, 7,799.72 and 3,134.17 is: 4,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.20 : 7,799.72 = 3,134.17 : x
  2. Step 2: Convert to fraction form
    5,652.20/7,799.72 = 3,134.17/x
  3. Step 3: Cross multiply
    5,652.20x = 7,799.72 × 3,134.17
  4. Step 4: Simplify right side
    5,652.20x = 24,445,648.43
  5. Step 5: Solve for x
    x = 24,445,648.43/5,652.20
  6. Step 6: Final answer
    x = 4,324.98

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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.