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Finding the Fourth Proportional to 3,965.81, 5,949.58 and 1,500.65

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Solution

The fourth proportional to 3,965.81, 5,949.58 and 1,500.65 is: 2,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.81 : 5,949.58 = 1,500.65 : x
  2. Step 2: Convert to fraction form
    3,965.81/5,949.58 = 1,500.65/x
  3. Step 3: Cross multiply
    3,965.81x = 5,949.58 × 1,500.65
  4. Step 4: Simplify right side
    3,965.81x = 8,928,207.48
  5. Step 5: Solve for x
    x = 8,928,207.48/3,965.81
  6. Step 6: Final answer
    x = 2,251.30

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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.