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Finding the Fourth Proportional to 3,694.61, 5,098.37 and 2,016

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Solution

The fourth proportional to 3,694.61, 5,098.37 and 2,016 is: 2,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.61 : 5,098.37 = 2,016 : x
  2. Step 2: Convert to fraction form
    3,694.61/5,098.37 = 2,016/x
  3. Step 3: Cross multiply
    3,694.61x = 5,098.37 × 2,016
  4. Step 4: Simplify right side
    3,694.61x = 10,278,303.84
  5. Step 5: Solve for x
    x = 10,278,303.84/3,694.61
  6. Step 6: Final answer
    x = 2,781.98

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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.