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Finding the Fourth Proportional to 5,742.37, 8,613.51 and 3,794.11

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Solution

The fourth proportional to 5,742.37, 8,613.51 and 3,794.11 is: 5,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.37 : 8,613.51 = 3,794.11 : x
  2. Step 2: Convert to fraction form
    5,742.37/8,613.51 = 3,794.11/x
  3. Step 3: Cross multiply
    5,742.37x = 8,613.51 × 3,794.11
  4. Step 4: Simplify right side
    5,742.37x = 32,680,604.43
  5. Step 5: Solve for x
    x = 32,680,604.43/5,742.37
  6. Step 6: Final answer
    x = 5,691.14

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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.