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Finding the Fourth Proportional to 3,859.96, 5,326.74 and 2,288.20

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Solution

The fourth proportional to 3,859.96, 5,326.74 and 2,288.20 is: 3,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.96 : 5,326.74 = 2,288.20 : x
  2. Step 2: Convert to fraction form
    3,859.96/5,326.74 = 2,288.20/x
  3. Step 3: Cross multiply
    3,859.96x = 5,326.74 × 2,288.20
  4. Step 4: Simplify right side
    3,859.96x = 12,188,646.47
  5. Step 5: Solve for x
    x = 12,188,646.47/3,859.96
  6. Step 6: Final answer
    x = 3,157.71

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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.