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Finding the Fourth Proportional to 3,947.74, 5,917.56 and 1,757.50

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Solution

The fourth proportional to 3,947.74, 5,917.56 and 1,757.50 is: 2,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.74 : 5,917.56 = 1,757.50 : x
  2. Step 2: Convert to fraction form
    3,947.74/5,917.56 = 1,757.50/x
  3. Step 3: Cross multiply
    3,947.74x = 5,917.56 × 1,757.50
  4. Step 4: Simplify right side
    3,947.74x = 10,400,111.70
  5. Step 5: Solve for x
    x = 10,400,111.70/3,947.74
  6. Step 6: Final answer
    x = 2,634.45

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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.