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Finding the Fourth Proportional to 3,874.43, 5,347.16 and 3,636.92

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Solution

The fourth proportional to 3,874.43, 5,347.16 and 3,636.92 is: 5,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.43 : 5,347.16 = 3,636.92 : x
  2. Step 2: Convert to fraction form
    3,874.43/5,347.16 = 3,636.92/x
  3. Step 3: Cross multiply
    3,874.43x = 5,347.16 × 3,636.92
  4. Step 4: Simplify right side
    3,874.43x = 19,447,193.15
  5. Step 5: Solve for x
    x = 19,447,193.15/3,874.43
  6. Step 6: Final answer
    x = 5,019.37

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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.