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Finding the Fourth Proportional to 3,407.24, 5,107.01 and 1,736.67

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Solution

The fourth proportional to 3,407.24, 5,107.01 and 1,736.67 is: 2,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.24 : 5,107.01 = 1,736.67 : x
  2. Step 2: Convert to fraction form
    3,407.24/5,107.01 = 1,736.67/x
  3. Step 3: Cross multiply
    3,407.24x = 5,107.01 × 1,736.67
  4. Step 4: Simplify right side
    3,407.24x = 8,869,163.22
  5. Step 5: Solve for x
    x = 8,869,163.22/3,407.24
  6. Step 6: Final answer
    x = 2,603.04

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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.