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Finding the Fourth Proportional to 3,451.75, 5,180.73 and 2,338.47

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Solution

The fourth proportional to 3,451.75, 5,180.73 and 2,338.47 is: 3,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.75 : 5,180.73 = 2,338.47 : x
  2. Step 2: Convert to fraction form
    3,451.75/5,180.73 = 2,338.47/x
  3. Step 3: Cross multiply
    3,451.75x = 5,180.73 × 2,338.47
  4. Step 4: Simplify right side
    3,451.75x = 12,114,972.91
  5. Step 5: Solve for x
    x = 12,114,972.91/3,451.75
  6. Step 6: Final answer
    x = 3,509.81

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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.