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Finding the Fourth Proportional to 3,735.24, 5,599.62 and 2,193

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Solution

The fourth proportional to 3,735.24, 5,599.62 and 2,193 is: 3,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.24 : 5,599.62 = 2,193 : x
  2. Step 2: Convert to fraction form
    3,735.24/5,599.62 = 2,193/x
  3. Step 3: Cross multiply
    3,735.24x = 5,599.62 × 2,193
  4. Step 4: Simplify right side
    3,735.24x = 12,279,966.66
  5. Step 5: Solve for x
    x = 12,279,966.66/3,735.24
  6. Step 6: Final answer
    x = 3,287.60

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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.