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Finding the Fourth Proportional to 3,497.26, 4,825.72 and 2,005.24

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Solution

The fourth proportional to 3,497.26, 4,825.72 and 2,005.24 is: 2,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.26 : 4,825.72 = 2,005.24 : x
  2. Step 2: Convert to fraction form
    3,497.26/4,825.72 = 2,005.24/x
  3. Step 3: Cross multiply
    3,497.26x = 4,825.72 × 2,005.24
  4. Step 4: Simplify right side
    3,497.26x = 9,676,709.70
  5. Step 5: Solve for x
    x = 9,676,709.70/3,497.26
  6. Step 6: Final answer
    x = 2,766.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.