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Finding the Fourth Proportional to 3,767.86, 5,197.03 and 2,586.88

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Solution

The fourth proportional to 3,767.86, 5,197.03 and 2,586.88 is: 3,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.86 : 5,197.03 = 2,586.88 : x
  2. Step 2: Convert to fraction form
    3,767.86/5,197.03 = 2,586.88/x
  3. Step 3: Cross multiply
    3,767.86x = 5,197.03 × 2,586.88
  4. Step 4: Simplify right side
    3,767.86x = 13,444,092.97
  5. Step 5: Solve for x
    x = 13,444,092.97/3,767.86
  6. Step 6: Final answer
    x = 3,568.10

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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.