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Finding the Fourth Proportional to 3,758.68, 5,638.56 and 1,162

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Solution

The fourth proportional to 3,758.68, 5,638.56 and 1,162 is: 1,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.68 : 5,638.56 = 1,162 : x
  2. Step 2: Convert to fraction form
    3,758.68/5,638.56 = 1,162/x
  3. Step 3: Cross multiply
    3,758.68x = 5,638.56 × 1,162
  4. Step 4: Simplify right side
    3,758.68x = 6,552,006.72
  5. Step 5: Solve for x
    x = 6,552,006.72/3,758.68
  6. Step 6: Final answer
    x = 1,743.17

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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.