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Finding the Fourth Proportional to 4,201.11, 6,297.57 and 1,737.68

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Solution

The fourth proportional to 4,201.11, 6,297.57 and 1,737.68 is: 2,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.11 : 6,297.57 = 1,737.68 : x
  2. Step 2: Convert to fraction form
    4,201.11/6,297.57 = 1,737.68/x
  3. Step 3: Cross multiply
    4,201.11x = 6,297.57 × 1,737.68
  4. Step 4: Simplify right side
    4,201.11x = 10,943,129.95
  5. Step 5: Solve for x
    x = 10,943,129.95/4,201.11
  6. Step 6: Final answer
    x = 2,604.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.