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Finding the Fourth Proportional to 3,442.95, 5,164.38 and 2,387.79

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Solution

The fourth proportional to 3,442.95, 5,164.38 and 2,387.79 is: 3,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.95 : 5,164.38 = 2,387.79 : x
  2. Step 2: Convert to fraction form
    3,442.95/5,164.38 = 2,387.79/x
  3. Step 3: Cross multiply
    3,442.95x = 5,164.38 × 2,387.79
  4. Step 4: Simplify right side
    3,442.95x = 12,331,454.92
  5. Step 5: Solve for x
    x = 12,331,454.92/3,442.95
  6. Step 6: Final answer
    x = 3,581.65

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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.