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Finding the Fourth Proportional to 5,344.72, 8,015.64 and 2,266

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Solution

The fourth proportional to 5,344.72, 8,015.64 and 2,266 is: 3,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.72 : 8,015.64 = 2,266 : x
  2. Step 2: Convert to fraction form
    5,344.72/8,015.64 = 2,266/x
  3. Step 3: Cross multiply
    5,344.72x = 8,015.64 × 2,266
  4. Step 4: Simplify right side
    5,344.72x = 18,163,440.24
  5. Step 5: Solve for x
    x = 18,163,440.24/5,344.72
  6. Step 6: Final answer
    x = 3,398.39

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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.