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Finding the Fourth Proportional to 3,542.72, 4,889.00 and 1,949.55

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Solution

The fourth proportional to 3,542.72, 4,889.00 and 1,949.55 is: 2,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.72 : 4,889.00 = 1,949.55 : x
  2. Step 2: Convert to fraction form
    3,542.72/4,889.00 = 1,949.55/x
  3. Step 3: Cross multiply
    3,542.72x = 4,889.00 × 1,949.55
  4. Step 4: Simplify right side
    3,542.72x = 9,531,372.93
  5. Step 5: Solve for x
    x = 9,531,372.93/3,542.72
  6. Step 6: Final answer
    x = 2,690.41

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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.