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Finding the Fourth Proportional to 5,932.32, 8,160.99 and 5,129.66

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Solution

The fourth proportional to 5,932.32, 8,160.99 and 5,129.66 is: 7,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.32 : 8,160.99 = 5,129.66 : x
  2. Step 2: Convert to fraction form
    5,932.32/8,160.99 = 5,129.66/x
  3. Step 3: Cross multiply
    5,932.32x = 8,160.99 × 5,129.66
  4. Step 4: Simplify right side
    5,932.32x = 41,863,103.96
  5. Step 5: Solve for x
    x = 41,863,103.96/5,932.32
  6. Step 6: Final answer
    x = 7,056.78

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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.