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Finding the Fourth Proportional to 3,838.17, 5,753.03 and 1,497.74

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Solution

The fourth proportional to 3,838.17, 5,753.03 and 1,497.74 is: 2,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.17 : 5,753.03 = 1,497.74 : x
  2. Step 2: Convert to fraction form
    3,838.17/5,753.03 = 1,497.74/x
  3. Step 3: Cross multiply
    3,838.17x = 5,753.03 × 1,497.74
  4. Step 4: Simplify right side
    3,838.17x = 8,616,539.26
  5. Step 5: Solve for x
    x = 8,616,539.26/3,838.17
  6. Step 6: Final answer
    x = 2,244.96

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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.