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Finding the Fourth Proportional to 3,419, 4,717.14 and 2,092.04

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Solution

The fourth proportional to 3,419, 4,717.14 and 2,092.04 is: 2,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419 : 4,717.14 = 2,092.04 : x
  2. Step 2: Convert to fraction form
    3,419/4,717.14 = 2,092.04/x
  3. Step 3: Cross multiply
    3,419x = 4,717.14 × 2,092.04
  4. Step 4: Simplify right side
    3,419x = 9,868,445.57
  5. Step 5: Solve for x
    x = 9,868,445.57/3,419
  6. Step 6: Final answer
    x = 2,886.35

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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.