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Finding the Fourth Proportional to 3,838.23, 5,753.12 and 1,497.80

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Solution

The fourth proportional to 3,838.23, 5,753.12 and 1,497.80 is: 2,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.23 : 5,753.12 = 1,497.80 : x
  2. Step 2: Convert to fraction form
    3,838.23/5,753.12 = 1,497.80/x
  3. Step 3: Cross multiply
    3,838.23x = 5,753.12 × 1,497.80
  4. Step 4: Simplify right side
    3,838.23x = 8,617,039.24
  5. Step 5: Solve for x
    x = 8,617,039.24/3,838.23
  6. Step 6: Final answer
    x = 2,245.06

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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.