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Finding the Fourth Proportional to 3,934.12, 5,428.02 and 2,340.37

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Solution

The fourth proportional to 3,934.12, 5,428.02 and 2,340.37 is: 3,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.12 : 5,428.02 = 2,340.37 : x
  2. Step 2: Convert to fraction form
    3,934.12/5,428.02 = 2,340.37/x
  3. Step 3: Cross multiply
    3,934.12x = 5,428.02 × 2,340.37
  4. Step 4: Simplify right side
    3,934.12x = 12,703,575.17
  5. Step 5: Solve for x
    x = 12,703,575.17/3,934.12
  6. Step 6: Final answer
    x = 3,229.08

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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.