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Finding the Fourth Proportional to 5,742.37, 8,613.89 and 1,794.20

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Solution

The fourth proportional to 5,742.37, 8,613.89 and 1,794.20 is: 2,691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.37 : 8,613.89 = 1,794.20 : x
  2. Step 2: Convert to fraction form
    5,742.37/8,613.89 = 1,794.20/x
  3. Step 3: Cross multiply
    5,742.37x = 8,613.89 × 1,794.20
  4. Step 4: Simplify right side
    5,742.37x = 15,455,002.85
  5. Step 5: Solve for x
    x = 15,455,002.85/5,742.37
  6. Step 6: Final answer
    x = 2,691.40

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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.