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Finding the Fourth Proportional to 5,591.28, 7,712.34 and 4,099.26

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Solution

The fourth proportional to 5,591.28, 7,712.34 and 4,099.26 is: 5,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.28 : 7,712.34 = 4,099.26 : x
  2. Step 2: Convert to fraction form
    5,591.28/7,712.34 = 4,099.26/x
  3. Step 3: Cross multiply
    5,591.28x = 7,712.34 × 4,099.26
  4. Step 4: Simplify right side
    5,591.28x = 31,614,886.87
  5. Step 5: Solve for x
    x = 31,614,886.87/5,591.28
  6. Step 6: Final answer
    x = 5,654.32

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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.