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Finding the Fourth Proportional to 3,952.74, 5,928.39 and 1,761.06

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Solution

The fourth proportional to 3,952.74, 5,928.39 and 1,761.06 is: 2,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.74 : 5,928.39 = 1,761.06 : x
  2. Step 2: Convert to fraction form
    3,952.74/5,928.39 = 1,761.06/x
  3. Step 3: Cross multiply
    3,952.74x = 5,928.39 × 1,761.06
  4. Step 4: Simplify right side
    3,952.74x = 10,440,250.49
  5. Step 5: Solve for x
    x = 10,440,250.49/3,952.74
  6. Step 6: Final answer
    x = 2,641.27

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1.5x scale

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.