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Finding the Fourth Proportional to 5,742.95, 8,614.42 and 3,794.69

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Solution

The fourth proportional to 5,742.95, 8,614.42 and 3,794.69 is: 5,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.95 : 8,614.42 = 3,794.69 : x
  2. Step 2: Convert to fraction form
    5,742.95/8,614.42 = 3,794.69/x
  3. Step 3: Cross multiply
    5,742.95x = 8,614.42 × 3,794.69
  4. Step 4: Simplify right side
    5,742.95x = 32,689,065.48
  5. Step 5: Solve for x
    x = 32,689,065.48/5,742.95
  6. Step 6: Final answer
    x = 5,692.04

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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.