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Finding the Fourth Proportional to 3,896.22, 5,844.28 and 1,263.82

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Solution

The fourth proportional to 3,896.22, 5,844.28 and 1,263.82 is: 1,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.22 : 5,844.28 = 1,263.82 : x
  2. Step 2: Convert to fraction form
    3,896.22/5,844.28 = 1,263.82/x
  3. Step 3: Cross multiply
    3,896.22x = 5,844.28 × 1,263.82
  4. Step 4: Simplify right side
    3,896.22x = 7,386,117.95
  5. Step 5: Solve for x
    x = 7,386,117.95/3,896.22
  6. Step 6: Final answer
    x = 1,895.71

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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.