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Finding the Fourth Proportional to 5,215.74, 7,198.02 and 3,091.42

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Solution

The fourth proportional to 5,215.74, 7,198.02 and 3,091.42 is: 4,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.74 : 7,198.02 = 3,091.42 : x
  2. Step 2: Convert to fraction form
    5,215.74/7,198.02 = 3,091.42/x
  3. Step 3: Cross multiply
    5,215.74x = 7,198.02 × 3,091.42
  4. Step 4: Simplify right side
    5,215.74x = 22,252,102.99
  5. Step 5: Solve for x
    x = 22,252,102.99/5,215.74
  6. Step 6: Final answer
    x = 4,266.34

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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.