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Finding the Fourth Proportional to 3,691.84, 5,095.38 and 2,120.92

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Solution

The fourth proportional to 3,691.84, 5,095.38 and 2,120.92 is: 2,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.84 : 5,095.38 = 2,120.92 : x
  2. Step 2: Convert to fraction form
    3,691.84/5,095.38 = 2,120.92/x
  3. Step 3: Cross multiply
    3,691.84x = 5,095.38 × 2,120.92
  4. Step 4: Simplify right side
    3,691.84x = 10,806,893.35
  5. Step 5: Solve for x
    x = 10,806,893.35/3,691.84
  6. Step 6: Final answer
    x = 2,927.24

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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.