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Finding the Fourth Proportional to 3,864.29, 5,796.37 and 942.59

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Solution

The fourth proportional to 3,864.29, 5,796.37 and 942.59 is: 1,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.29 : 5,796.37 = 942.59 : x
  2. Step 2: Convert to fraction form
    3,864.29/5,796.37 = 942.59/x
  3. Step 3: Cross multiply
    3,864.29x = 5,796.37 × 942.59
  4. Step 4: Simplify right side
    3,864.29x = 5,463,600.40
  5. Step 5: Solve for x
    x = 5,463,600.40/3,864.29
  6. Step 6: Final answer
    x = 1,413.87

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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.