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Finding the Fourth Proportional to 4,229.48, 6,344.20 and 1,888.88

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Solution

The fourth proportional to 4,229.48, 6,344.20 and 1,888.88 is: 2,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.48 : 6,344.20 = 1,888.88 : x
  2. Step 2: Convert to fraction form
    4,229.48/6,344.20 = 1,888.88/x
  3. Step 3: Cross multiply
    4,229.48x = 6,344.20 × 1,888.88
  4. Step 4: Simplify right side
    4,229.48x = 11,983,432.50
  5. Step 5: Solve for x
    x = 11,983,432.50/4,229.48
  6. Step 6: Final answer
    x = 2,833.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.