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Finding the Fourth Proportional to 3,400.30, 5,099.77 and 1,059.67

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Solution

The fourth proportional to 3,400.30, 5,099.77 and 1,059.67 is: 1,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.30 : 5,099.77 = 1,059.67 : x
  2. Step 2: Convert to fraction form
    3,400.30/5,099.77 = 1,059.67/x
  3. Step 3: Cross multiply
    3,400.30x = 5,099.77 × 1,059.67
  4. Step 4: Simplify right side
    3,400.30x = 5,404,073.28
  5. Step 5: Solve for x
    x = 5,404,073.28/3,400.30
  6. Step 6: Final answer
    x = 1,589.29

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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.