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Finding the Fourth Proportional to 3,843.68, 5,302.80 and 2,426.96

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Solution

The fourth proportional to 3,843.68, 5,302.80 and 2,426.96 is: 3,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.68 : 5,302.80 = 2,426.96 : x
  2. Step 2: Convert to fraction form
    3,843.68/5,302.80 = 2,426.96/x
  3. Step 3: Cross multiply
    3,843.68x = 5,302.80 × 2,426.96
  4. Step 4: Simplify right side
    3,843.68x = 12,869,683.49
  5. Step 5: Solve for x
    x = 12,869,683.49/3,843.68
  6. Step 6: Final answer
    x = 3,348.27

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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.