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Finding the Fourth Proportional to 3,654.44, 5,474.36 and 2,264.48

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Solution

The fourth proportional to 3,654.44, 5,474.36 and 2,264.48 is: 3,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.44 : 5,474.36 = 2,264.48 : x
  2. Step 2: Convert to fraction form
    3,654.44/5,474.36 = 2,264.48/x
  3. Step 3: Cross multiply
    3,654.44x = 5,474.36 × 2,264.48
  4. Step 4: Simplify right side
    3,654.44x = 12,396,557.02
  5. Step 5: Solve for x
    x = 12,396,557.02/3,654.44
  6. Step 6: Final answer
    x = 3,392.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.