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Finding the Fourth Proportional to 3,838.24, 5,753.92 and 1,496.67

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Solution

The fourth proportional to 3,838.24, 5,753.92 and 1,496.67 is: 2,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.24 : 5,753.92 = 1,496.67 : x
  2. Step 2: Convert to fraction form
    3,838.24/5,753.92 = 1,496.67/x
  3. Step 3: Cross multiply
    3,838.24x = 5,753.92 × 1,496.67
  4. Step 4: Simplify right side
    3,838.24x = 8,611,719.45
  5. Step 5: Solve for x
    x = 8,611,719.45/3,838.24
  6. Step 6: Final answer
    x = 2,243.66

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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.