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Finding the Fourth Proportional to 5,407.20, 7,462.96 and 3,922

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Solution

The fourth proportional to 5,407.20, 7,462.96 and 3,922 is: 5,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.20 : 7,462.96 = 3,922 : x
  2. Step 2: Convert to fraction form
    5,407.20/7,462.96 = 3,922/x
  3. Step 3: Cross multiply
    5,407.20x = 7,462.96 × 3,922
  4. Step 4: Simplify right side
    5,407.20x = 29,269,729.12
  5. Step 5: Solve for x
    x = 29,269,729.12/5,407.20
  6. Step 6: Final answer
    x = 5,413.10

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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.