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Finding the Fourth Proportional to 3,565.98, 5,342.81 and 2,524.22

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Solution

The fourth proportional to 3,565.98, 5,342.81 and 2,524.22 is: 3,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.98 : 5,342.81 = 2,524.22 : x
  2. Step 2: Convert to fraction form
    3,565.98/5,342.81 = 2,524.22/x
  3. Step 3: Cross multiply
    3,565.98x = 5,342.81 × 2,524.22
  4. Step 4: Simplify right side
    3,565.98x = 13,486,427.86
  5. Step 5: Solve for x
    x = 13,486,427.86/3,565.98
  6. Step 6: Final answer
    x = 3,781.97

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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.