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Finding the Fourth Proportional to 3,908.64, 5,863.70 and 1,443.65

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Solution

The fourth proportional to 3,908.64, 5,863.70 and 1,443.65 is: 2,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.64 : 5,863.70 = 1,443.65 : x
  2. Step 2: Convert to fraction form
    3,908.64/5,863.70 = 1,443.65/x
  3. Step 3: Cross multiply
    3,908.64x = 5,863.70 × 1,443.65
  4. Step 4: Simplify right side
    3,908.64x = 8,465,093.97
  5. Step 5: Solve for x
    x = 8,465,093.97/3,908.64
  6. Step 6: Final answer
    x = 2,165.74

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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.