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Finding the Fourth Proportional to 3,491.62, 5,236.32 and 1,151.19

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Solution

The fourth proportional to 3,491.62, 5,236.32 and 1,151.19 is: 1,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.62 : 5,236.32 = 1,151.19 : x
  2. Step 2: Convert to fraction form
    3,491.62/5,236.32 = 1,151.19/x
  3. Step 3: Cross multiply
    3,491.62x = 5,236.32 × 1,151.19
  4. Step 4: Simplify right side
    3,491.62x = 6,027,999.22
  5. Step 5: Solve for x
    x = 6,027,999.22/3,491.62
  6. Step 6: Final answer
    x = 1,726.42

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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.