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Finding the Fourth Proportional to 4,798.14, 7,198.05 and 2,201.34

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Solution

The fourth proportional to 4,798.14, 7,198.05 and 2,201.34 is: 3,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.14 : 7,198.05 = 2,201.34 : x
  2. Step 2: Convert to fraction form
    4,798.14/7,198.05 = 2,201.34/x
  3. Step 3: Cross multiply
    4,798.14x = 7,198.05 × 2,201.34
  4. Step 4: Simplify right side
    4,798.14x = 15,845,355.39
  5. Step 5: Solve for x
    x = 15,845,355.39/4,798.14
  6. Step 6: Final answer
    x = 3,302.40

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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.