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Finding the Fourth Proportional to 3,965.57, 5,473.04 and 2,286.63

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Solution

The fourth proportional to 3,965.57, 5,473.04 and 2,286.63 is: 3,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.57 : 5,473.04 = 2,286.63 : x
  2. Step 2: Convert to fraction form
    3,965.57/5,473.04 = 2,286.63/x
  3. Step 3: Cross multiply
    3,965.57x = 5,473.04 × 2,286.63
  4. Step 4: Simplify right side
    3,965.57x = 12,514,825.32
  5. Step 5: Solve for x
    x = 12,514,825.32/3,965.57
  6. Step 6: Final answer
    x = 3,155.87

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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.