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Finding the Fourth Proportional to 3,908.12, 5,862.12 and 1,311.04

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Solution

The fourth proportional to 3,908.12, 5,862.12 and 1,311.04 is: 1,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.12 : 5,862.12 = 1,311.04 : x
  2. Step 2: Convert to fraction form
    3,908.12/5,862.12 = 1,311.04/x
  3. Step 3: Cross multiply
    3,908.12x = 5,862.12 × 1,311.04
  4. Step 4: Simplify right side
    3,908.12x = 7,685,473.80
  5. Step 5: Solve for x
    x = 7,685,473.80/3,908.12
  6. Step 6: Final answer
    x = 1,966.54

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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.