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Finding the Fourth Proportional to 5,452.32, 8,172 and 3,799.92

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Solution

The fourth proportional to 5,452.32, 8,172 and 3,799.92 is: 5,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.32 : 8,172 = 3,799.92 : x
  2. Step 2: Convert to fraction form
    5,452.32/8,172 = 3,799.92/x
  3. Step 3: Cross multiply
    5,452.32x = 8,172 × 3,799.92
  4. Step 4: Simplify right side
    5,452.32x = 31,052,946.24
  5. Step 5: Solve for x
    x = 31,052,946.24/5,452.32
  6. Step 6: Final answer
    x = 5,695.36

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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.