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Finding the Fourth Proportional to 3,418.96, 5,122.26 and 1,571.62

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Solution

The fourth proportional to 3,418.96, 5,122.26 and 1,571.62 is: 2,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.96 : 5,122.26 = 1,571.62 : x
  2. Step 2: Convert to fraction form
    3,418.96/5,122.26 = 1,571.62/x
  3. Step 3: Cross multiply
    3,418.96x = 5,122.26 × 1,571.62
  4. Step 4: Simplify right side
    3,418.96x = 8,050,246.26
  5. Step 5: Solve for x
    x = 8,050,246.26/3,418.96
  6. Step 6: Final answer
    x = 2,354.59

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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.