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Finding the Fourth Proportional to 3,732.78, 5,149.10 and 2,333.10

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Solution

The fourth proportional to 3,732.78, 5,149.10 and 2,333.10 is: 3,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.78 : 5,149.10 = 2,333.10 : x
  2. Step 2: Convert to fraction form
    3,732.78/5,149.10 = 2,333.10/x
  3. Step 3: Cross multiply
    3,732.78x = 5,149.10 × 2,333.10
  4. Step 4: Simplify right side
    3,732.78x = 12,013,353.54
  5. Step 5: Solve for x
    x = 12,013,353.54/3,732.78
  6. Step 6: Final answer
    x = 3,218.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.