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Finding the Fourth Proportional to 3,786.38, 5,225.22 and 2,214.17

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Solution

The fourth proportional to 3,786.38, 5,225.22 and 2,214.17 is: 3,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.38 : 5,225.22 = 2,214.17 : x
  2. Step 2: Convert to fraction form
    3,786.38/5,225.22 = 2,214.17/x
  3. Step 3: Cross multiply
    3,786.38x = 5,225.22 × 2,214.17
  4. Step 4: Simplify right side
    3,786.38x = 11,569,499.24
  5. Step 5: Solve for x
    x = 11,569,499.24/3,786.38
  6. Step 6: Final answer
    x = 3,055.56

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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.