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Finding the Fourth Proportional to 3,932.74, 5,899.11 and 1,740.88

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Solution

The fourth proportional to 3,932.74, 5,899.11 and 1,740.88 is: 2,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.74 : 5,899.11 = 1,740.88 : x
  2. Step 2: Convert to fraction form
    3,932.74/5,899.11 = 1,740.88/x
  3. Step 3: Cross multiply
    3,932.74x = 5,899.11 × 1,740.88
  4. Step 4: Simplify right side
    3,932.74x = 10,269,642.62
  5. Step 5: Solve for x
    x = 10,269,642.62/3,932.74
  6. Step 6: Final answer
    x = 2,611.32

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Similar ratio
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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.