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Finding the Fourth Proportional to 3,959.14, 5,947.95 and 2,316.85

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Solution

The fourth proportional to 3,959.14, 5,947.95 and 2,316.85 is: 3,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.14 : 5,947.95 = 2,316.85 : x
  2. Step 2: Convert to fraction form
    3,959.14/5,947.95 = 2,316.85/x
  3. Step 3: Cross multiply
    3,959.14x = 5,947.95 × 2,316.85
  4. Step 4: Simplify right side
    3,959.14x = 13,780,507.96
  5. Step 5: Solve for x
    x = 13,780,507.96/3,959.14
  6. Step 6: Final answer
    x = 3,480.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.