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Finding the Fourth Proportional to 6,371.92, 8,794.92 and 3,578.32

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Solution

The fourth proportional to 6,371.92, 8,794.92 and 3,578.32 is: 4,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.92 : 8,794.92 = 3,578.32 : x
  2. Step 2: Convert to fraction form
    6,371.92/8,794.92 = 3,578.32/x
  3. Step 3: Cross multiply
    6,371.92x = 8,794.92 × 3,578.32
  4. Step 4: Simplify right side
    6,371.92x = 31,471,038.13
  5. Step 5: Solve for x
    x = 31,471,038.13/6,371.92
  6. Step 6: Final answer
    x = 4,939.02

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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.