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Finding the Fourth Proportional to 3,834.89, 5,748.87 and 1,859.41

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Solution

The fourth proportional to 3,834.89, 5,748.87 and 1,859.41 is: 2,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.89 : 5,748.87 = 1,859.41 : x
  2. Step 2: Convert to fraction form
    3,834.89/5,748.87 = 1,859.41/x
  3. Step 3: Cross multiply
    3,834.89x = 5,748.87 × 1,859.41
  4. Step 4: Simplify right side
    3,834.89x = 10,689,488.19
  5. Step 5: Solve for x
    x = 10,689,488.19/3,834.89
  6. Step 6: Final answer
    x = 2,787.43

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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.