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Finding the Fourth Proportional to 3,396.89, 4,689.35 and 2,138.55

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Solution

The fourth proportional to 3,396.89, 4,689.35 and 2,138.55 is: 2,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.89 : 4,689.35 = 2,138.55 : x
  2. Step 2: Convert to fraction form
    3,396.89/4,689.35 = 2,138.55/x
  3. Step 3: Cross multiply
    3,396.89x = 4,689.35 × 2,138.55
  4. Step 4: Simplify right side
    3,396.89x = 10,028,398.75
  5. Step 5: Solve for x
    x = 10,028,398.75/3,396.89
  6. Step 6: Final answer
    x = 2,952.23

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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.