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Finding the Fourth Proportional to 3,902.47, 5,853.71 and 1,436.22

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Solution

The fourth proportional to 3,902.47, 5,853.71 and 1,436.22 is: 2,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.47 : 5,853.71 = 1,436.22 : x
  2. Step 2: Convert to fraction form
    3,902.47/5,853.71 = 1,436.22/x
  3. Step 3: Cross multiply
    3,902.47x = 5,853.71 × 1,436.22
  4. Step 4: Simplify right side
    3,902.47x = 8,407,218.97
  5. Step 5: Solve for x
    x = 8,407,218.97/3,902.47
  6. Step 6: Final answer
    x = 2,154.33

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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.