Home / 5,622-7,758.38-3,104.13

Finding the Fourth Proportional to 5,622, 7,758.38 and 3,104.13

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Solution

The fourth proportional to 5,622, 7,758.38 and 3,104.13 is: 4,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622 : 7,758.38 = 3,104.13 : x
  2. Step 2: Convert to fraction form
    5,622/7,758.38 = 3,104.13/x
  3. Step 3: Cross multiply
    5,622x = 7,758.38 × 3,104.13
  4. Step 4: Simplify right side
    5,622x = 24,083,020.11
  5. Step 5: Solve for x
    x = 24,083,020.11/5,622
  6. Step 6: Final answer
    x = 4,283.71

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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.