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Finding the Fourth Proportional to 5,892.96, 8,132.12 and 3,240.40

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Solution

The fourth proportional to 5,892.96, 8,132.12 and 3,240.40 is: 4,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.96 : 8,132.12 = 3,240.40 : x
  2. Step 2: Convert to fraction form
    5,892.96/8,132.12 = 3,240.40/x
  3. Step 3: Cross multiply
    5,892.96x = 8,132.12 × 3,240.40
  4. Step 4: Simplify right side
    5,892.96x = 26,351,321.65
  5. Step 5: Solve for x
    x = 26,351,321.65/5,892.96
  6. Step 6: Final answer
    x = 4,471.66

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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.