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Finding the Fourth Proportional to 3,689.68, 5,092.04 and 2,118.28

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Solution

The fourth proportional to 3,689.68, 5,092.04 and 2,118.28 is: 2,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.68 : 5,092.04 = 2,118.28 : x
  2. Step 2: Convert to fraction form
    3,689.68/5,092.04 = 2,118.28/x
  3. Step 3: Cross multiply
    3,689.68x = 5,092.04 × 2,118.28
  4. Step 4: Simplify right side
    3,689.68x = 10,786,366.49
  5. Step 5: Solve for x
    x = 10,786,366.49/3,689.68
  6. Step 6: Final answer
    x = 2,923.39

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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.