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Finding the Fourth Proportional to 6,548.48, 9,036.96 and 3,753.92

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Solution

The fourth proportional to 6,548.48, 9,036.96 and 3,753.92 is: 5,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.48 : 9,036.96 = 3,753.92 : x
  2. Step 2: Convert to fraction form
    6,548.48/9,036.96 = 3,753.92/x
  3. Step 3: Cross multiply
    6,548.48x = 9,036.96 × 3,753.92
  4. Step 4: Simplify right side
    6,548.48x = 33,924,024.88
  5. Step 5: Solve for x
    x = 33,924,024.88/6,548.48
  6. Step 6: Final answer
    x = 5,180.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.