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Finding the Fourth Proportional to 3,765.89, 5,200.00 and 2,351.23

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Solution

The fourth proportional to 3,765.89, 5,200.00 and 2,351.23 is: 3,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.89 : 5,200.00 = 2,351.23 : x
  2. Step 2: Convert to fraction form
    3,765.89/5,200.00 = 2,351.23/x
  3. Step 3: Cross multiply
    3,765.89x = 5,200.00 × 2,351.23
  4. Step 4: Simplify right side
    3,765.89x = 12,226,377.12
  5. Step 5: Solve for x
    x = 12,226,377.12/3,765.89
  6. Step 6: Final answer
    x = 3,246.61

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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.