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Finding the Fourth Proportional to 5,929.76, 8,886 and 4,049.12

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Solution

The fourth proportional to 5,929.76, 8,886 and 4,049.12 is: 6,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.76 : 8,886 = 4,049.12 : x
  2. Step 2: Convert to fraction form
    5,929.76/8,886 = 4,049.12/x
  3. Step 3: Cross multiply
    5,929.76x = 8,886 × 4,049.12
  4. Step 4: Simplify right side
    5,929.76x = 35,980,480.32
  5. Step 5: Solve for x
    x = 35,980,480.32/5,929.76
  6. Step 6: Final answer
    x = 6,067.78

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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.