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Finding the Fourth Proportional to 4,195, 5,789.12 and 2,332

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Solution

The fourth proportional to 4,195, 5,789.12 and 2,332 is: 3,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195 : 5,789.12 = 2,332 : x
  2. Step 2: Convert to fraction form
    4,195/5,789.12 = 2,332/x
  3. Step 3: Cross multiply
    4,195x = 5,789.12 × 2,332
  4. Step 4: Simplify right side
    4,195x = 13,500,227.84
  5. Step 5: Solve for x
    x = 13,500,227.84/4,195
  6. Step 6: Final answer
    x = 3,218.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.