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Finding the Fourth Proportional to 3,817, 5,724.82 and 1,736.52

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Solution

The fourth proportional to 3,817, 5,724.82 and 1,736.52 is: 2,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817 : 5,724.82 = 1,736.52 : x
  2. Step 2: Convert to fraction form
    3,817/5,724.82 = 1,736.52/x
  3. Step 3: Cross multiply
    3,817x = 5,724.82 × 1,736.52
  4. Step 4: Simplify right side
    3,817x = 9,941,264.43
  5. Step 5: Solve for x
    x = 9,941,264.43/3,817
  6. Step 6: Final answer
    x = 2,604.47

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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.