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Finding the Fourth Proportional to 4,150.92, 5,729.06 and 2,473.31

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Solution

The fourth proportional to 4,150.92, 5,729.06 and 2,473.31 is: 3,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.92 : 5,729.06 = 2,473.31 : x
  2. Step 2: Convert to fraction form
    4,150.92/5,729.06 = 2,473.31/x
  3. Step 3: Cross multiply
    4,150.92x = 5,729.06 × 2,473.31
  4. Step 4: Simplify right side
    4,150.92x = 14,169,741.39
  5. Step 5: Solve for x
    x = 14,169,741.39/4,150.92
  6. Step 6: Final answer
    x = 3,413.64

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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.