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Finding the Fourth Proportional to 3,751.89, 5,178.24 and 2,180.90

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Solution

The fourth proportional to 3,751.89, 5,178.24 and 2,180.90 is: 3,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.89 : 5,178.24 = 2,180.90 : x
  2. Step 2: Convert to fraction form
    3,751.89/5,178.24 = 2,180.90/x
  3. Step 3: Cross multiply
    3,751.89x = 5,178.24 × 2,180.90
  4. Step 4: Simplify right side
    3,751.89x = 11,293,197.72
  5. Step 5: Solve for x
    x = 11,293,197.72/3,751.89
  6. Step 6: Final answer
    x = 3,010.00

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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.