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Finding the Fourth Proportional to 3,463.46, 5,200.64 and 2,736.29

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Solution

The fourth proportional to 3,463.46, 5,200.64 and 2,736.29 is: 4,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.46 : 5,200.64 = 2,736.29 : x
  2. Step 2: Convert to fraction form
    3,463.46/5,200.64 = 2,736.29/x
  3. Step 3: Cross multiply
    3,463.46x = 5,200.64 × 2,736.29
  4. Step 4: Simplify right side
    3,463.46x = 14,230,419.54
  5. Step 5: Solve for x
    x = 14,230,419.54/3,463.46
  6. Step 6: Final answer
    x = 4,108.74

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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.