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Finding the Fourth Proportional to 3,910, 5,394.16 and 2,565.12

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Solution

The fourth proportional to 3,910, 5,394.16 and 2,565.12 is: 3,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910 : 5,394.16 = 2,565.12 : x
  2. Step 2: Convert to fraction form
    3,910/5,394.16 = 2,565.12/x
  3. Step 3: Cross multiply
    3,910x = 5,394.16 × 2,565.12
  4. Step 4: Simplify right side
    3,910x = 13,836,667.70
  5. Step 5: Solve for x
    x = 13,836,667.70/3,910
  6. Step 6: Final answer
    x = 3,538.79

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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.