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Finding the Fourth Proportional to 4,474.92, 6,711.84 and 2,285.22

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Solution

The fourth proportional to 4,474.92, 6,711.84 and 2,285.22 is: 3,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.92 : 6,711.84 = 2,285.22 : x
  2. Step 2: Convert to fraction form
    4,474.92/6,711.84 = 2,285.22/x
  3. Step 3: Cross multiply
    4,474.92x = 6,711.84 × 2,285.22
  4. Step 4: Simplify right side
    4,474.92x = 15,338,031.00
  5. Step 5: Solve for x
    x = 15,338,031.00/4,474.92
  6. Step 6: Final answer
    x = 3,427.55

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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.