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Finding the Fourth Proportional to 3,853.65, 5,321.19 and 2,439.63

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Solution

The fourth proportional to 3,853.65, 5,321.19 and 2,439.63 is: 3,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.65 : 5,321.19 = 2,439.63 : x
  2. Step 2: Convert to fraction form
    3,853.65/5,321.19 = 2,439.63/x
  3. Step 3: Cross multiply
    3,853.65x = 5,321.19 × 2,439.63
  4. Step 4: Simplify right side
    3,853.65x = 12,981,734.76
  5. Step 5: Solve for x
    x = 12,981,734.76/3,853.65
  6. Step 6: Final answer
    x = 3,368.69

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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.