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Finding the Fourth Proportional to 3,650.25, 5,036.07 and 2,234.58

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Solution

The fourth proportional to 3,650.25, 5,036.07 and 2,234.58 is: 3,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.25 : 5,036.07 = 2,234.58 : x
  2. Step 2: Convert to fraction form
    3,650.25/5,036.07 = 2,234.58/x
  3. Step 3: Cross multiply
    3,650.25x = 5,036.07 × 2,234.58
  4. Step 4: Simplify right side
    3,650.25x = 11,253,501.30
  5. Step 5: Solve for x
    x = 11,253,501.30/3,650.25
  6. Step 6: Final answer
    x = 3,082.94

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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.