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Finding the Fourth Proportional to 5,691.75, 7,855.44 and 5,442.69

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Solution

The fourth proportional to 5,691.75, 7,855.44 and 5,442.69 is: 7,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.75 : 7,855.44 = 5,442.69 : x
  2. Step 2: Convert to fraction form
    5,691.75/7,855.44 = 5,442.69/x
  3. Step 3: Cross multiply
    5,691.75x = 7,855.44 × 5,442.69
  4. Step 4: Simplify right side
    5,691.75x = 42,754,724.73
  5. Step 5: Solve for x
    x = 42,754,724.73/5,691.75
  6. Step 6: Final answer
    x = 7,511.70

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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.