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Finding the Fourth Proportional to 3,404.68, 5,106.06 and 938.90

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Solution

The fourth proportional to 3,404.68, 5,106.06 and 938.90 is: 1,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.68 : 5,106.06 = 938.90 : x
  2. Step 2: Convert to fraction form
    3,404.68/5,106.06 = 938.90/x
  3. Step 3: Cross multiply
    3,404.68x = 5,106.06 × 938.90
  4. Step 4: Simplify right side
    3,404.68x = 4,794,079.73
  5. Step 5: Solve for x
    x = 4,794,079.73/3,404.68
  6. Step 6: Final answer
    x = 1,408.09

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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.