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Finding the Fourth Proportional to 3,433.78, 5,148.43 and 2,260.23

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Solution

The fourth proportional to 3,433.78, 5,148.43 and 2,260.23 is: 3,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.78 : 5,148.43 = 2,260.23 : x
  2. Step 2: Convert to fraction form
    3,433.78/5,148.43 = 2,260.23/x
  3. Step 3: Cross multiply
    3,433.78x = 5,148.43 × 2,260.23
  4. Step 4: Simplify right side
    3,433.78x = 11,636,635.94
  5. Step 5: Solve for x
    x = 11,636,635.94/3,433.78
  6. Step 6: Final answer
    x = 3,388.87

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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.