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Finding the Fourth Proportional to 4,843.40, 6,680.10 and 4,099.40

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Solution

The fourth proportional to 4,843.40, 6,680.10 and 4,099.40 is: 5,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.40 : 6,680.10 = 4,099.40 : x
  2. Step 2: Convert to fraction form
    4,843.40/6,680.10 = 4,099.40/x
  3. Step 3: Cross multiply
    4,843.40x = 6,680.10 × 4,099.40
  4. Step 4: Simplify right side
    4,843.40x = 27,384,401.94
  5. Step 5: Solve for x
    x = 27,384,401.94/4,843.40
  6. Step 6: Final answer
    x = 5,653.96

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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.