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Finding the Fourth Proportional to 5,691.36, 7,854.06 and 3,805.68

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Solution

The fourth proportional to 5,691.36, 7,854.06 and 3,805.68 is: 5,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.36 : 7,854.06 = 3,805.68 : x
  2. Step 2: Convert to fraction form
    5,691.36/7,854.06 = 3,805.68/x
  3. Step 3: Cross multiply
    5,691.36x = 7,854.06 × 3,805.68
  4. Step 4: Simplify right side
    5,691.36x = 29,890,039.06
  5. Step 5: Solve for x
    x = 29,890,039.06/5,691.36
  6. Step 6: Final answer
    x = 5,251.83

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1.5x scale

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.