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Finding the Fourth Proportional to 3,908.10, 5,860.92 and 1,310.43

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Solution

The fourth proportional to 3,908.10, 5,860.92 and 1,310.43 is: 1,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.10 : 5,860.92 = 1,310.43 : x
  2. Step 2: Convert to fraction form
    3,908.10/5,860.92 = 1,310.43/x
  3. Step 3: Cross multiply
    3,908.10x = 5,860.92 × 1,310.43
  4. Step 4: Simplify right side
    3,908.10x = 7,680,325.40
  5. Step 5: Solve for x
    x = 7,680,325.40/3,908.10
  6. Step 6: Final answer
    x = 1,965.23

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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.