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Finding the Fourth Proportional to 3,755.42, 5,182.42 and 2,076.78

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Solution

The fourth proportional to 3,755.42, 5,182.42 and 2,076.78 is: 2,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.42 : 5,182.42 = 2,076.78 : x
  2. Step 2: Convert to fraction form
    3,755.42/5,182.42 = 2,076.78/x
  3. Step 3: Cross multiply
    3,755.42x = 5,182.42 × 2,076.78
  4. Step 4: Simplify right side
    3,755.42x = 10,762,735.82
  5. Step 5: Solve for x
    x = 10,762,735.82/3,755.42
  6. Step 6: Final answer
    x = 2,865.92

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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.