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Finding the Fourth Proportional to 3,966.99, 5,947.74 and 1,744.76

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Solution

The fourth proportional to 3,966.99, 5,947.74 and 1,744.76 is: 2,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.99 : 5,947.74 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    3,966.99/5,947.74 = 1,744.76/x
  3. Step 3: Cross multiply
    3,966.99x = 5,947.74 × 1,744.76
  4. Step 4: Simplify right side
    3,966.99x = 10,377,349.10
  5. Step 5: Solve for x
    x = 10,377,349.10/3,966.99
  6. Step 6: Final answer
    x = 2,615.93

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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.