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Finding the Fourth Proportional to 3,491.41, 5,236.06 and 1,269.96

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Solution

The fourth proportional to 3,491.41, 5,236.06 and 1,269.96 is: 1,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.41 : 5,236.06 = 1,269.96 : x
  2. Step 2: Convert to fraction form
    3,491.41/5,236.06 = 1,269.96/x
  3. Step 3: Cross multiply
    3,491.41x = 5,236.06 × 1,269.96
  4. Step 4: Simplify right side
    3,491.41x = 6,649,586.76
  5. Step 5: Solve for x
    x = 6,649,586.76/3,491.41
  6. Step 6: Final answer
    x = 1,904.56

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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.