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Finding the Fourth Proportional to 4,251.69, 5,867.31 and 2,388.69

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Solution

The fourth proportional to 4,251.69, 5,867.31 and 2,388.69 is: 3,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.69 : 5,867.31 = 2,388.69 : x
  2. Step 2: Convert to fraction form
    4,251.69/5,867.31 = 2,388.69/x
  3. Step 3: Cross multiply
    4,251.69x = 5,867.31 × 2,388.69
  4. Step 4: Simplify right side
    4,251.69x = 14,015,184.72
  5. Step 5: Solve for x
    x = 14,015,184.72/4,251.69
  6. Step 6: Final answer
    x = 3,296.38

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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.