Home / 5,105.38-7,658.20-1,408

Finding the Fourth Proportional to 5,105.38, 7,658.20 and 1,408

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Solution

The fourth proportional to 5,105.38, 7,658.20 and 1,408 is: 2,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.38 : 7,658.20 = 1,408 : x
  2. Step 2: Convert to fraction form
    5,105.38/7,658.20 = 1,408/x
  3. Step 3: Cross multiply
    5,105.38x = 7,658.20 × 1,408
  4. Step 4: Simplify right side
    5,105.38x = 10,782,745.60
  5. Step 5: Solve for x
    x = 10,782,745.60/5,105.38
  6. Step 6: Final answer
    x = 2,112.04

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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.