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Finding the Fourth Proportional to 7,228.46, 10,846.20 and 2,849.60

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Solution

The fourth proportional to 7,228.46, 10,846.20 and 2,849.60 is: 4,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.46 : 10,846.20 = 2,849.60 : x
  2. Step 2: Convert to fraction form
    7,228.46/10,846.20 = 2,849.60/x
  3. Step 3: Cross multiply
    7,228.46x = 10,846.20 × 2,849.60
  4. Step 4: Simplify right side
    7,228.46x = 30,907,331.52
  5. Step 5: Solve for x
    x = 30,907,331.52/7,228.46
  6. Step 6: Final answer
    x = 4,275.78

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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.