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Finding the Fourth Proportional to 4,474.06, 6,712.72 and 2,163.94

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Solution

The fourth proportional to 4,474.06, 6,712.72 and 2,163.94 is: 3,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.06 : 6,712.72 = 2,163.94 : x
  2. Step 2: Convert to fraction form
    4,474.06/6,712.72 = 2,163.94/x
  3. Step 3: Cross multiply
    4,474.06x = 6,712.72 × 2,163.94
  4. Step 4: Simplify right side
    4,474.06x = 14,525,901.13
  5. Step 5: Solve for x
    x = 14,525,901.13/4,474.06
  6. Step 6: Final answer
    x = 3,246.70

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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.