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Finding the Fourth Proportional to 4,251.36, 6,339.84 and 4,212.48

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Solution

The fourth proportional to 4,251.36, 6,339.84 and 4,212.48 is: 6,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.36 : 6,339.84 = 4,212.48 : x
  2. Step 2: Convert to fraction form
    4,251.36/6,339.84 = 4,212.48/x
  3. Step 3: Cross multiply
    4,251.36x = 6,339.84 × 4,212.48
  4. Step 4: Simplify right side
    4,251.36x = 26,706,449.20
  5. Step 5: Solve for x
    x = 26,706,449.20/4,251.36
  6. Step 6: Final answer
    x = 6,281.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.