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Finding the Fourth Proportional to 3,689.64, 5,092.38 and 2,118.69

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Solution

The fourth proportional to 3,689.64, 5,092.38 and 2,118.69 is: 2,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.64 : 5,092.38 = 2,118.69 : x
  2. Step 2: Convert to fraction form
    3,689.64/5,092.38 = 2,118.69/x
  3. Step 3: Cross multiply
    3,689.64x = 5,092.38 × 2,118.69
  4. Step 4: Simplify right side
    3,689.64x = 10,789,174.58
  5. Step 5: Solve for x
    x = 10,789,174.58/3,689.64
  6. Step 6: Final answer
    x = 2,924.18

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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.