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Finding the Fourth Proportional to 3,896.75, 5,844.93 and 1,123.34

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Solution

The fourth proportional to 3,896.75, 5,844.93 and 1,123.34 is: 1,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.75 : 5,844.93 = 1,123.34 : x
  2. Step 2: Convert to fraction form
    3,896.75/5,844.93 = 1,123.34/x
  3. Step 3: Cross multiply
    3,896.75x = 5,844.93 × 1,123.34
  4. Step 4: Simplify right side
    3,896.75x = 6,565,814.44
  5. Step 5: Solve for x
    x = 6,565,814.44/3,896.75
  6. Step 6: Final answer
    x = 1,684.95

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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.