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Finding the Fourth Proportional to 3,404.12, 5,106.47 and 938.94

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Solution

The fourth proportional to 3,404.12, 5,106.47 and 938.94 is: 1,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.12 : 5,106.47 = 938.94 : x
  2. Step 2: Convert to fraction form
    3,404.12/5,106.47 = 938.94/x
  3. Step 3: Cross multiply
    3,404.12x = 5,106.47 × 938.94
  4. Step 4: Simplify right side
    3,404.12x = 4,794,664.25
  5. Step 5: Solve for x
    x = 4,794,664.25/3,404.12
  6. Step 6: Final answer
    x = 1,408.49

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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.