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Finding the Fourth Proportional to 3,787.36, 5,682 and 2,228.65

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Solution

The fourth proportional to 3,787.36, 5,682 and 2,228.65 is: 3,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.36 : 5,682 = 2,228.65 : x
  2. Step 2: Convert to fraction form
    3,787.36/5,682 = 2,228.65/x
  3. Step 3: Cross multiply
    3,787.36x = 5,682 × 2,228.65
  4. Step 4: Simplify right side
    3,787.36x = 12,663,189.30
  5. Step 5: Solve for x
    x = 12,663,189.30/3,787.36
  6. Step 6: Final answer
    x = 3,343.54

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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.