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Finding the Fourth Proportional to 3,428.01, 5,138.11 and 2,257.86

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Solution

The fourth proportional to 3,428.01, 5,138.11 and 2,257.86 is: 3,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.01 : 5,138.11 = 2,257.86 : x
  2. Step 2: Convert to fraction form
    3,428.01/5,138.11 = 2,257.86/x
  3. Step 3: Cross multiply
    3,428.01x = 5,138.11 × 2,257.86
  4. Step 4: Simplify right side
    3,428.01x = 11,601,133.04
  5. Step 5: Solve for x
    x = 11,601,133.04/3,428.01
  6. Step 6: Final answer
    x = 3,384.22

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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.