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Finding the Fourth Proportional to 3,468.17, 5,204.52 and 1,276.92

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Solution

The fourth proportional to 3,468.17, 5,204.52 and 1,276.92 is: 1,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.17 : 5,204.52 = 1,276.92 : x
  2. Step 2: Convert to fraction form
    3,468.17/5,204.52 = 1,276.92/x
  3. Step 3: Cross multiply
    3,468.17x = 5,204.52 × 1,276.92
  4. Step 4: Simplify right side
    3,468.17x = 6,645,755.68
  5. Step 5: Solve for x
    x = 6,645,755.68/3,468.17
  6. Step 6: Final answer
    x = 1,916.22

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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.