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Finding the Fourth Proportional to 5,753.28, 7,936.32 and 3,985.92

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Solution

The fourth proportional to 5,753.28, 7,936.32 and 3,985.92 is: 5,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.28 : 7,936.32 = 3,985.92 : x
  2. Step 2: Convert to fraction form
    5,753.28/7,936.32 = 3,985.92/x
  3. Step 3: Cross multiply
    5,753.28x = 7,936.32 × 3,985.92
  4. Step 4: Simplify right side
    5,753.28x = 31,633,536.61
  5. Step 5: Solve for x
    x = 31,633,536.61/5,753.28
  6. Step 6: Final answer
    x = 5,498.35

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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.