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Finding the Fourth Proportional to 4,891.92, 6,752.34 and 3,904

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Solution

The fourth proportional to 4,891.92, 6,752.34 and 3,904 is: 5,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.92 : 6,752.34 = 3,904 : x
  2. Step 2: Convert to fraction form
    4,891.92/6,752.34 = 3,904/x
  3. Step 3: Cross multiply
    4,891.92x = 6,752.34 × 3,904
  4. Step 4: Simplify right side
    4,891.92x = 26,361,135.36
  5. Step 5: Solve for x
    x = 26,361,135.36/4,891.92
  6. Step 6: Final answer
    x = 5,388.71

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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.