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Finding the Fourth Proportional to 3,694.42, 5,098.26 and 2,122.76

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Solution

The fourth proportional to 3,694.42, 5,098.26 and 2,122.76 is: 2,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.42 : 5,098.26 = 2,122.76 : x
  2. Step 2: Convert to fraction form
    3,694.42/5,098.26 = 2,122.76/x
  3. Step 3: Cross multiply
    3,694.42x = 5,098.26 × 2,122.76
  4. Step 4: Simplify right side
    3,694.42x = 10,822,382.40
  5. Step 5: Solve for x
    x = 10,822,382.40/3,694.42
  6. Step 6: Final answer
    x = 2,929.39

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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.