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Finding the Fourth Proportional to 3,867.87, 5,337.63 and 2,189.25

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Solution

The fourth proportional to 3,867.87, 5,337.63 and 2,189.25 is: 3,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.87 : 5,337.63 = 2,189.25 : x
  2. Step 2: Convert to fraction form
    3,867.87/5,337.63 = 2,189.25/x
  3. Step 3: Cross multiply
    3,867.87x = 5,337.63 × 2,189.25
  4. Step 4: Simplify right side
    3,867.87x = 11,685,406.48
  5. Step 5: Solve for x
    x = 11,685,406.48/3,867.87
  6. Step 6: Final answer
    x = 3,021.15

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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.