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Finding the Fourth Proportional to 5,761.76, 8,642.63 and 3,294.84

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Solution

The fourth proportional to 5,761.76, 8,642.63 and 3,294.84 is: 4,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.76 : 8,642.63 = 3,294.84 : x
  2. Step 2: Convert to fraction form
    5,761.76/8,642.63 = 3,294.84/x
  3. Step 3: Cross multiply
    5,761.76x = 8,642.63 × 3,294.84
  4. Step 4: Simplify right side
    5,761.76x = 28,476,066.56
  5. Step 5: Solve for x
    x = 28,476,066.56/5,761.76
  6. Step 6: Final answer
    x = 4,942.26

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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.