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Finding the Fourth Proportional to 3,964.95, 5,947.71 and 1,593.03

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Solution

The fourth proportional to 3,964.95, 5,947.71 and 1,593.03 is: 2,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.95 : 5,947.71 = 1,593.03 : x
  2. Step 2: Convert to fraction form
    3,964.95/5,947.71 = 1,593.03/x
  3. Step 3: Cross multiply
    3,964.95x = 5,947.71 × 1,593.03
  4. Step 4: Simplify right side
    3,964.95x = 9,474,901.27
  5. Step 5: Solve for x
    x = 9,474,901.27/3,964.95
  6. Step 6: Final answer
    x = 2,389.66

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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.