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Finding the Fourth Proportional to 3,404.57, 4,695.49 and 2,874.68

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Solution

The fourth proportional to 3,404.57, 4,695.49 and 2,874.68 is: 3,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.57 : 4,695.49 = 2,874.68 : x
  2. Step 2: Convert to fraction form
    3,404.57/4,695.49 = 2,874.68/x
  3. Step 3: Cross multiply
    3,404.57x = 4,695.49 × 2,874.68
  4. Step 4: Simplify right side
    3,404.57x = 13,498,035.75
  5. Step 5: Solve for x
    x = 13,498,035.75/3,404.57
  6. Step 6: Final answer
    x = 3,964.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.