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Finding the Fourth Proportional to 4,733.25, 7,099.84 and 1,446.22

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Solution

The fourth proportional to 4,733.25, 7,099.84 and 1,446.22 is: 2,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.25 : 7,099.84 = 1,446.22 : x
  2. Step 2: Convert to fraction form
    4,733.25/7,099.84 = 1,446.22/x
  3. Step 3: Cross multiply
    4,733.25x = 7,099.84 × 1,446.22
  4. Step 4: Simplify right side
    4,733.25x = 10,267,930.60
  5. Step 5: Solve for x
    x = 10,267,930.60/4,733.25
  6. Step 6: Final answer
    x = 2,169.32

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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.