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Finding the Fourth Proportional to 5,353.92, 8,032.32 and 2,232.90

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Solution

The fourth proportional to 5,353.92, 8,032.32 and 2,232.90 is: 3,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.92 : 8,032.32 = 2,232.90 : x
  2. Step 2: Convert to fraction form
    5,353.92/8,032.32 = 2,232.90/x
  3. Step 3: Cross multiply
    5,353.92x = 8,032.32 × 2,232.90
  4. Step 4: Simplify right side
    5,353.92x = 17,935,367.33
  5. Step 5: Solve for x
    x = 17,935,367.33/5,353.92
  6. Step 6: Final answer
    x = 3,349.95

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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.