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Finding the Fourth Proportional to 4,138.77, 6,204.06 and 1,949.04

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Solution

The fourth proportional to 4,138.77, 6,204.06 and 1,949.04 is: 2,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.77 : 6,204.06 = 1,949.04 : x
  2. Step 2: Convert to fraction form
    4,138.77/6,204.06 = 1,949.04/x
  3. Step 3: Cross multiply
    4,138.77x = 6,204.06 × 1,949.04
  4. Step 4: Simplify right side
    4,138.77x = 12,091,961.10
  5. Step 5: Solve for x
    x = 12,091,961.10/4,138.77
  6. Step 6: Final answer
    x = 2,921.63

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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.