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Finding the Fourth Proportional to 3,467.92, 5,204.24 and 1,278.40

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Solution

The fourth proportional to 3,467.92, 5,204.24 and 1,278.40 is: 1,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.92 : 5,204.24 = 1,278.40 : x
  2. Step 2: Convert to fraction form
    3,467.92/5,204.24 = 1,278.40/x
  3. Step 3: Cross multiply
    3,467.92x = 5,204.24 × 1,278.40
  4. Step 4: Simplify right side
    3,467.92x = 6,653,100.42
  5. Step 5: Solve for x
    x = 6,653,100.42/3,467.92
  6. Step 6: Final answer
    x = 1,918.47

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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.