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Finding the Fourth Proportional to 3,755.23, 5,182.00 and 2,076.57

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Solution

The fourth proportional to 3,755.23, 5,182.00 and 2,076.57 is: 2,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.23 : 5,182.00 = 2,076.57 : x
  2. Step 2: Convert to fraction form
    3,755.23/5,182.00 = 2,076.57/x
  3. Step 3: Cross multiply
    3,755.23x = 5,182.00 × 2,076.57
  4. Step 4: Simplify right side
    3,755.23x = 10,760,780.55
  5. Step 5: Solve for x
    x = 10,760,780.55/3,755.23
  6. Step 6: Final answer
    x = 2,865.55

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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.