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Finding the Fourth Proportional to 4,083.84, 6,123 and 2,233.44

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Solution

The fourth proportional to 4,083.84, 6,123 and 2,233.44 is: 3,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.84 : 6,123 = 2,233.44 : x
  2. Step 2: Convert to fraction form
    4,083.84/6,123 = 2,233.44/x
  3. Step 3: Cross multiply
    4,083.84x = 6,123 × 2,233.44
  4. Step 4: Simplify right side
    4,083.84x = 13,675,353.12
  5. Step 5: Solve for x
    x = 13,675,353.12/4,083.84
  6. Step 6: Final answer
    x = 3,348.65

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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.