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Finding the Fourth Proportional to 5,449.14, 8,177.22 and 5,428.98

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Solution

The fourth proportional to 5,449.14, 8,177.22 and 5,428.98 is: 8,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.14 : 8,177.22 = 5,428.98 : x
  2. Step 2: Convert to fraction form
    5,449.14/8,177.22 = 5,428.98/x
  3. Step 3: Cross multiply
    5,449.14x = 8,177.22 × 5,428.98
  4. Step 4: Simplify right side
    5,449.14x = 44,393,963.84
  5. Step 5: Solve for x
    x = 44,393,963.84/5,449.14
  6. Step 6: Final answer
    x = 8,146.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.