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Finding the Fourth Proportional to 4,798.14, 7,198.03 and 2,201.30

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Solution

The fourth proportional to 4,798.14, 7,198.03 and 2,201.30 is: 3,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.14 : 7,198.03 = 2,201.30 : x
  2. Step 2: Convert to fraction form
    4,798.14/7,198.03 = 2,201.30/x
  3. Step 3: Cross multiply
    4,798.14x = 7,198.03 × 2,201.30
  4. Step 4: Simplify right side
    4,798.14x = 15,845,023.44
  5. Step 5: Solve for x
    x = 15,845,023.44/4,798.14
  6. Step 6: Final answer
    x = 3,302.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.