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Finding the Fourth Proportional to 3,601.72, 4,969.78 and 2,029.78

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Solution

The fourth proportional to 3,601.72, 4,969.78 and 2,029.78 is: 2,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.72 : 4,969.78 = 2,029.78 : x
  2. Step 2: Convert to fraction form
    3,601.72/4,969.78 = 2,029.78/x
  3. Step 3: Cross multiply
    3,601.72x = 4,969.78 × 2,029.78
  4. Step 4: Simplify right side
    3,601.72x = 10,087,560.05
  5. Step 5: Solve for x
    x = 10,087,560.05/3,601.72
  6. Step 6: Final answer
    x = 2,800.76

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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.