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Finding the Fourth Proportional to 3,859.96, 5,326.38 and 2,287.78

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Solution

The fourth proportional to 3,859.96, 5,326.38 and 2,287.78 is: 3,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.96 : 5,326.38 = 2,287.78 : x
  2. Step 2: Convert to fraction form
    3,859.96/5,326.38 = 2,287.78/x
  3. Step 3: Cross multiply
    3,859.96x = 5,326.38 × 2,287.78
  4. Step 4: Simplify right side
    3,859.96x = 12,185,585.64
  5. Step 5: Solve for x
    x = 12,185,585.64/3,859.96
  6. Step 6: Final answer
    x = 3,156.92

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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.