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Finding the Fourth Proportional to 3,400.49, 5,100.17 and 934.73

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Solution

The fourth proportional to 3,400.49, 5,100.17 and 934.73 is: 1,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.49 : 5,100.17 = 934.73 : x
  2. Step 2: Convert to fraction form
    3,400.49/5,100.17 = 934.73/x
  3. Step 3: Cross multiply
    3,400.49x = 5,100.17 × 934.73
  4. Step 4: Simplify right side
    3,400.49x = 4,767,251.73
  5. Step 5: Solve for x
    x = 4,767,251.73/3,400.49
  6. Step 6: Final answer
    x = 1,401.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.