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Finding the Fourth Proportional to 3,760.14, 5,188.98 and 2,104.14

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Solution

The fourth proportional to 3,760.14, 5,188.98 and 2,104.14 is: 2,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.14 : 5,188.98 = 2,104.14 : x
  2. Step 2: Convert to fraction form
    3,760.14/5,188.98 = 2,104.14/x
  3. Step 3: Cross multiply
    3,760.14x = 5,188.98 × 2,104.14
  4. Step 4: Simplify right side
    3,760.14x = 10,918,340.38
  5. Step 5: Solve for x
    x = 10,918,340.38/3,760.14
  6. Step 6: Final answer
    x = 2,903.71

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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.