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Finding the Fourth Proportional to 5,724.24, 7,900.95 and 3,367.14

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Solution

The fourth proportional to 5,724.24, 7,900.95 and 3,367.14 is: 4,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.24 : 7,900.95 = 3,367.14 : x
  2. Step 2: Convert to fraction form
    5,724.24/7,900.95 = 3,367.14/x
  3. Step 3: Cross multiply
    5,724.24x = 7,900.95 × 3,367.14
  4. Step 4: Simplify right side
    5,724.24x = 26,603,604.78
  5. Step 5: Solve for x
    x = 26,603,604.78/5,724.24
  6. Step 6: Final answer
    x = 4,647.53

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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.