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Finding the Fourth Proportional to 3,898.67, 5,378.82 and 2,219.65

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Solution

The fourth proportional to 3,898.67, 5,378.82 and 2,219.65 is: 3,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.67 : 5,378.82 = 2,219.65 : x
  2. Step 2: Convert to fraction form
    3,898.67/5,378.82 = 2,219.65/x
  3. Step 3: Cross multiply
    3,898.67x = 5,378.82 × 2,219.65
  4. Step 4: Simplify right side
    3,898.67x = 11,939,118.78
  5. Step 5: Solve for x
    x = 11,939,118.78/3,898.67
  6. Step 6: Final answer
    x = 3,062.36

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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.