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Finding the Fourth Proportional to 3,964.14, 5,947.41 and 2,317.20

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Solution

The fourth proportional to 3,964.14, 5,947.41 and 2,317.20 is: 3,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.14 : 5,947.41 = 2,317.20 : x
  2. Step 2: Convert to fraction form
    3,964.14/5,947.41 = 2,317.20/x
  3. Step 3: Cross multiply
    3,964.14x = 5,947.41 × 2,317.20
  4. Step 4: Simplify right side
    3,964.14x = 13,781,338.45
  5. Step 5: Solve for x
    x = 13,781,338.45/3,964.14
  6. Step 6: Final answer
    x = 3,476.50

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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.