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Finding the Fourth Proportional to 3,433.69, 5,149.27 and 1,354.17

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Solution

The fourth proportional to 3,433.69, 5,149.27 and 1,354.17 is: 2,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.69 : 5,149.27 = 1,354.17 : x
  2. Step 2: Convert to fraction form
    3,433.69/5,149.27 = 1,354.17/x
  3. Step 3: Cross multiply
    3,433.69x = 5,149.27 × 1,354.17
  4. Step 4: Simplify right side
    3,433.69x = 6,972,978.99
  5. Step 5: Solve for x
    x = 6,972,978.99/3,433.69
  6. Step 6: Final answer
    x = 2,030.75

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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.