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Finding the Fourth Proportional to 3,355.07, 5,032.67 and 1,163.87

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Solution

The fourth proportional to 3,355.07, 5,032.67 and 1,163.87 is: 1,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.07 : 5,032.67 = 1,163.87 : x
  2. Step 2: Convert to fraction form
    3,355.07/5,032.67 = 1,163.87/x
  3. Step 3: Cross multiply
    3,355.07x = 5,032.67 × 1,163.87
  4. Step 4: Simplify right side
    3,355.07x = 5,857,373.63
  5. Step 5: Solve for x
    x = 5,857,373.63/3,355.07
  6. Step 6: Final answer
    x = 1,745.83

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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.