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Finding the Fourth Proportional to 5,532.72, 7,635.29 and 3,142.31

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Solution

The fourth proportional to 5,532.72, 7,635.29 and 3,142.31 is: 4,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.72 : 7,635.29 = 3,142.31 : x
  2. Step 2: Convert to fraction form
    5,532.72/7,635.29 = 3,142.31/x
  3. Step 3: Cross multiply
    5,532.72x = 7,635.29 × 3,142.31
  4. Step 4: Simplify right side
    5,532.72x = 23,992,413.81
  5. Step 5: Solve for x
    x = 23,992,413.81/5,532.72
  6. Step 6: Final answer
    x = 4,336.46

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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.