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Finding the Fourth Proportional to 5,214.60, 7,198.11 and 3,448.62

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Solution

The fourth proportional to 5,214.60, 7,198.11 and 3,448.62 is: 4,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.60 : 7,198.11 = 3,448.62 : x
  2. Step 2: Convert to fraction form
    5,214.60/7,198.11 = 3,448.62/x
  3. Step 3: Cross multiply
    5,214.60x = 7,198.11 × 3,448.62
  4. Step 4: Simplify right side
    5,214.60x = 24,823,546.11
  5. Step 5: Solve for x
    x = 24,823,546.11/5,214.60
  6. Step 6: Final answer
    x = 4,760.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.