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Finding the Fourth Proportional to 3,742.62, 5,613.92 and 1,662.13

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Solution

The fourth proportional to 3,742.62, 5,613.92 and 1,662.13 is: 2,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.62 : 5,613.92 = 1,662.13 : x
  2. Step 2: Convert to fraction form
    3,742.62/5,613.92 = 1,662.13/x
  3. Step 3: Cross multiply
    3,742.62x = 5,613.92 × 1,662.13
  4. Step 4: Simplify right side
    3,742.62x = 9,331,064.85
  5. Step 5: Solve for x
    x = 9,331,064.85/3,742.62
  6. Step 6: Final answer
    x = 2,493.19

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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.