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Finding the Fourth Proportional to 3,867.86, 5,337.68 and 2,189.27

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Solution

The fourth proportional to 3,867.86, 5,337.68 and 2,189.27 is: 3,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.86 : 5,337.68 = 2,189.27 : x
  2. Step 2: Convert to fraction form
    3,867.86/5,337.68 = 2,189.27/x
  3. Step 3: Cross multiply
    3,867.86x = 5,337.68 × 2,189.27
  4. Step 4: Simplify right side
    3,867.86x = 11,685,585.06
  5. Step 5: Solve for x
    x = 11,685,585.06/3,867.86
  6. Step 6: Final answer
    x = 3,021.21

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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.