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Finding the Fourth Proportional to 3,491.89, 5,233.57 and 1,640.53

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Solution

The fourth proportional to 3,491.89, 5,233.57 and 1,640.53 is: 2,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.89 : 5,233.57 = 1,640.53 : x
  2. Step 2: Convert to fraction form
    3,491.89/5,233.57 = 1,640.53/x
  3. Step 3: Cross multiply
    3,491.89x = 5,233.57 × 1,640.53
  4. Step 4: Simplify right side
    3,491.89x = 8,585,828.59
  5. Step 5: Solve for x
    x = 8,585,828.59/3,491.89
  6. Step 6: Final answer
    x = 2,458.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.