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Finding the Fourth Proportional to 3,440.75, 5,157.81 and 1,099.46

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Solution

The fourth proportional to 3,440.75, 5,157.81 and 1,099.46 is: 1,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.75 : 5,157.81 = 1,099.46 : x
  2. Step 2: Convert to fraction form
    3,440.75/5,157.81 = 1,099.46/x
  3. Step 3: Cross multiply
    3,440.75x = 5,157.81 × 1,099.46
  4. Step 4: Simplify right side
    3,440.75x = 5,670,779.99
  5. Step 5: Solve for x
    x = 5,670,779.99/3,440.75
  6. Step 6: Final answer
    x = 1,648.13

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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.