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Finding the Fourth Proportional to 3,857.86, 5,781.66 and 2,102.86

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Solution

The fourth proportional to 3,857.86, 5,781.66 and 2,102.86 is: 3,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.86 : 5,781.66 = 2,102.86 : x
  2. Step 2: Convert to fraction form
    3,857.86/5,781.66 = 2,102.86/x
  3. Step 3: Cross multiply
    3,857.86x = 5,781.66 × 2,102.86
  4. Step 4: Simplify right side
    3,857.86x = 12,158,021.55
  5. Step 5: Solve for x
    x = 12,158,021.55/3,857.86
  6. Step 6: Final answer
    x = 3,151.49

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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.