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Finding the Fourth Proportional to 3,138.28, 4,712.34 and 2,494.40

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Solution

The fourth proportional to 3,138.28, 4,712.34 and 2,494.40 is: 3,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.28 : 4,712.34 = 2,494.40 : x
  2. Step 2: Convert to fraction form
    3,138.28/4,712.34 = 2,494.40/x
  3. Step 3: Cross multiply
    3,138.28x = 4,712.34 × 2,494.40
  4. Step 4: Simplify right side
    3,138.28x = 11,754,460.90
  5. Step 5: Solve for x
    x = 11,754,460.90/3,138.28
  6. Step 6: Final answer
    x = 3,745.51

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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.