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Finding the Fourth Proportional to 4,138.54, 6,209.16 and 1,947.49

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Solution

The fourth proportional to 4,138.54, 6,209.16 and 1,947.49 is: 2,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.54 : 6,209.16 = 1,947.49 : x
  2. Step 2: Convert to fraction form
    4,138.54/6,209.16 = 1,947.49/x
  3. Step 3: Cross multiply
    4,138.54x = 6,209.16 × 1,947.49
  4. Step 4: Simplify right side
    4,138.54x = 12,092,277.01
  5. Step 5: Solve for x
    x = 12,092,277.01/4,138.54
  6. Step 6: Final answer
    x = 2,921.87

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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.