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Finding the Fourth Proportional to 3,650.78, 5,036.85 and 2,057.54

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Solution

The fourth proportional to 3,650.78, 5,036.85 and 2,057.54 is: 2,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.78 : 5,036.85 = 2,057.54 : x
  2. Step 2: Convert to fraction form
    3,650.78/5,036.85 = 2,057.54/x
  3. Step 3: Cross multiply
    3,650.78x = 5,036.85 × 2,057.54
  4. Step 4: Simplify right side
    3,650.78x = 10,363,520.35
  5. Step 5: Solve for x
    x = 10,363,520.35/3,650.78
  6. Step 6: Final answer
    x = 2,838.71

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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.