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Finding the Fourth Proportional to 3,009.72, 4,509.72 and 2,278.29

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Solution

The fourth proportional to 3,009.72, 4,509.72 and 2,278.29 is: 3,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.72 : 4,509.72 = 2,278.29 : x
  2. Step 2: Convert to fraction form
    3,009.72/4,509.72 = 2,278.29/x
  3. Step 3: Cross multiply
    3,009.72x = 4,509.72 × 2,278.29
  4. Step 4: Simplify right side
    3,009.72x = 10,274,449.98
  5. Step 5: Solve for x
    x = 10,274,449.98/3,009.72
  6. Step 6: Final answer
    x = 3,413.76

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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.