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Finding the Fourth Proportional to 5,864.88, 8,092.80 and 3,442.44

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Solution

The fourth proportional to 5,864.88, 8,092.80 and 3,442.44 is: 4,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.88 : 8,092.80 = 3,442.44 : x
  2. Step 2: Convert to fraction form
    5,864.88/8,092.80 = 3,442.44/x
  3. Step 3: Cross multiply
    5,864.88x = 8,092.80 × 3,442.44
  4. Step 4: Simplify right side
    5,864.88x = 27,858,978.43
  5. Step 5: Solve for x
    x = 27,858,978.43/5,864.88
  6. Step 6: Final answer
    x = 4,750.14

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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.