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Finding the Fourth Proportional to 3,937.86, 5,434.08 and 2,169.42

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Solution

The fourth proportional to 3,937.86, 5,434.08 and 2,169.42 is: 2,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.86 : 5,434.08 = 2,169.42 : x
  2. Step 2: Convert to fraction form
    3,937.86/5,434.08 = 2,169.42/x
  3. Step 3: Cross multiply
    3,937.86x = 5,434.08 × 2,169.42
  4. Step 4: Simplify right side
    3,937.86x = 11,788,801.83
  5. Step 5: Solve for x
    x = 11,788,801.83/3,937.86
  6. Step 6: Final answer
    x = 2,993.71

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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.