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Finding the Fourth Proportional to 5,863.75, 8,082.31 and 4,160.12

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Solution

The fourth proportional to 5,863.75, 8,082.31 and 4,160.12 is: 5,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.75 : 8,082.31 = 4,160.12 : x
  2. Step 2: Convert to fraction form
    5,863.75/8,082.31 = 4,160.12/x
  3. Step 3: Cross multiply
    5,863.75x = 8,082.31 × 4,160.12
  4. Step 4: Simplify right side
    5,863.75x = 33,623,381.59
  5. Step 5: Solve for x
    x = 33,623,381.59/5,863.75
  6. Step 6: Final answer
    x = 5,734.10

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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.