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Finding the Fourth Proportional to 6,371.76, 8,793.02 and 3,578.16

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Solution

The fourth proportional to 6,371.76, 8,793.02 and 3,578.16 is: 4,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.76 : 8,793.02 = 3,578.16 : x
  2. Step 2: Convert to fraction form
    6,371.76/8,793.02 = 3,578.16/x
  3. Step 3: Cross multiply
    6,371.76x = 8,793.02 × 3,578.16
  4. Step 4: Simplify right side
    6,371.76x = 31,462,832.44
  5. Step 5: Solve for x
    x = 31,462,832.44/6,371.76
  6. Step 6: Final answer
    x = 4,937.86

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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.