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Finding the Fourth Proportional to 6,659.28, 9,190.08 and 4,142.88

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Solution

The fourth proportional to 6,659.28, 9,190.08 and 4,142.88 is: 5,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.28 : 9,190.08 = 4,142.88 : x
  2. Step 2: Convert to fraction form
    6,659.28/9,190.08 = 4,142.88/x
  3. Step 3: Cross multiply
    6,659.28x = 9,190.08 × 4,142.88
  4. Step 4: Simplify right side
    6,659.28x = 38,073,398.63
  5. Step 5: Solve for x
    x = 38,073,398.63/6,659.28
  6. Step 6: Final answer
    x = 5,717.34

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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.