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Finding the Fourth Proportional to 3,586.42, 4,949.09 and 1,993.17

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Solution

The fourth proportional to 3,586.42, 4,949.09 and 1,993.17 is: 2,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.42 : 4,949.09 = 1,993.17 : x
  2. Step 2: Convert to fraction form
    3,586.42/4,949.09 = 1,993.17/x
  3. Step 3: Cross multiply
    3,586.42x = 4,949.09 × 1,993.17
  4. Step 4: Simplify right side
    3,586.42x = 9,864,377.72
  5. Step 5: Solve for x
    x = 9,864,377.72/3,586.42
  6. Step 6: Final answer
    x = 2,750.48

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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.