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Finding the Fourth Proportional to 5,100.20, 7,040.03 and 3,214.97

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Solution

The fourth proportional to 5,100.20, 7,040.03 and 3,214.97 is: 4,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.20 : 7,040.03 = 3,214.97 : x
  2. Step 2: Convert to fraction form
    5,100.20/7,040.03 = 3,214.97/x
  3. Step 3: Cross multiply
    5,100.20x = 7,040.03 × 3,214.97
  4. Step 4: Simplify right side
    5,100.20x = 22,633,433.97
  5. Step 5: Solve for x
    x = 22,633,433.97/5,100.20
  6. Step 6: Final answer
    x = 4,437.76

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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.