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Finding the Fourth Proportional to 3,657.43, 5,049.42 and 2,400.68

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Solution

The fourth proportional to 3,657.43, 5,049.42 and 2,400.68 is: 3,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.43 : 5,049.42 = 2,400.68 : x
  2. Step 2: Convert to fraction form
    3,657.43/5,049.42 = 2,400.68/x
  3. Step 3: Cross multiply
    3,657.43x = 5,049.42 × 2,400.68
  4. Step 4: Simplify right side
    3,657.43x = 12,122,050.12
  5. Step 5: Solve for x
    x = 12,122,050.12/3,657.43
  6. Step 6: Final answer
    x = 3,314.36

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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.