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Finding the Fourth Proportional to 4,493.46, 6,735.78 and 2,152.80

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Solution

The fourth proportional to 4,493.46, 6,735.78 and 2,152.80 is: 3,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.46 : 6,735.78 = 2,152.80 : x
  2. Step 2: Convert to fraction form
    4,493.46/6,735.78 = 2,152.80/x
  3. Step 3: Cross multiply
    4,493.46x = 6,735.78 × 2,152.80
  4. Step 4: Simplify right side
    4,493.46x = 14,500,787.18
  5. Step 5: Solve for x
    x = 14,500,787.18/4,493.46
  6. Step 6: Final answer
    x = 3,227.09

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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.