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Finding the Fourth Proportional to 3,758.88, 5,211.60 and 3,535.44

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Solution

The fourth proportional to 3,758.88, 5,211.60 and 3,535.44 is: 4,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.88 : 5,211.60 = 3,535.44 : x
  2. Step 2: Convert to fraction form
    3,758.88/5,211.60 = 3,535.44/x
  3. Step 3: Cross multiply
    3,758.88x = 5,211.60 × 3,535.44
  4. Step 4: Simplify right side
    3,758.88x = 18,425,299.10
  5. Step 5: Solve for x
    x = 18,425,299.10/3,758.88
  6. Step 6: Final answer
    x = 4,901.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.