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Finding the Fourth Proportional to 5,442.66, 8,160.48 and 2,324.70

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Solution

The fourth proportional to 5,442.66, 8,160.48 and 2,324.70 is: 3,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.66 : 8,160.48 = 2,324.70 : x
  2. Step 2: Convert to fraction form
    5,442.66/8,160.48 = 2,324.70/x
  3. Step 3: Cross multiply
    5,442.66x = 8,160.48 × 2,324.70
  4. Step 4: Simplify right side
    5,442.66x = 18,970,667.86
  5. Step 5: Solve for x
    x = 18,970,667.86/5,442.66
  6. Step 6: Final answer
    x = 3,485.55

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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.