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Finding the Fourth Proportional to 3,755.21, 5,182.09 and 2,076.50

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Solution

The fourth proportional to 3,755.21, 5,182.09 and 2,076.50 is: 2,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.21 : 5,182.09 = 2,076.50 : x
  2. Step 2: Convert to fraction form
    3,755.21/5,182.09 = 2,076.50/x
  3. Step 3: Cross multiply
    3,755.21x = 5,182.09 × 2,076.50
  4. Step 4: Simplify right side
    3,755.21x = 10,760,617.65
  5. Step 5: Solve for x
    x = 10,760,617.65/3,755.21
  6. Step 6: Final answer
    x = 2,865.51

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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.