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Finding the Fourth Proportional to 4,039.72, 5,574.52 and 2,271

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Solution

The fourth proportional to 4,039.72, 5,574.52 and 2,271 is: 3,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.72 : 5,574.52 = 2,271 : x
  2. Step 2: Convert to fraction form
    4,039.72/5,574.52 = 2,271/x
  3. Step 3: Cross multiply
    4,039.72x = 5,574.52 × 2,271
  4. Step 4: Simplify right side
    4,039.72x = 12,659,734.92
  5. Step 5: Solve for x
    x = 12,659,734.92/4,039.72
  6. Step 6: Final answer
    x = 3,133.81

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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.