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Finding the Fourth Proportional to 5,548.68, 8,355.36 and 4,098

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Solution

The fourth proportional to 5,548.68, 8,355.36 and 4,098 is: 6,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.68 : 8,355.36 = 4,098 : x
  2. Step 2: Convert to fraction form
    5,548.68/8,355.36 = 4,098/x
  3. Step 3: Cross multiply
    5,548.68x = 8,355.36 × 4,098
  4. Step 4: Simplify right side
    5,548.68x = 34,240,265.28
  5. Step 5: Solve for x
    x = 34,240,265.28/5,548.68
  6. Step 6: Final answer
    x = 6,170.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.