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Finding the Fourth Proportional to 5,244.38, 7,867.65 and 1,956.68

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Solution

The fourth proportional to 5,244.38, 7,867.65 and 1,956.68 is: 2,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.38 : 7,867.65 = 1,956.68 : x
  2. Step 2: Convert to fraction form
    5,244.38/7,867.65 = 1,956.68/x
  3. Step 3: Cross multiply
    5,244.38x = 7,867.65 × 1,956.68
  4. Step 4: Simplify right side
    5,244.38x = 15,394,473.40
  5. Step 5: Solve for x
    x = 15,394,473.40/5,244.38
  6. Step 6: Final answer
    x = 2,935.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.