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Finding the Fourth Proportional to 4,143.47, 6,216.23 and 3,404.33

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Solution

The fourth proportional to 4,143.47, 6,216.23 and 3,404.33 is: 5,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.47 : 6,216.23 = 3,404.33 : x
  2. Step 2: Convert to fraction form
    4,143.47/6,216.23 = 3,404.33/x
  3. Step 3: Cross multiply
    4,143.47x = 6,216.23 × 3,404.33
  4. Step 4: Simplify right side
    4,143.47x = 21,162,098.28
  5. Step 5: Solve for x
    x = 21,162,098.28/4,143.47
  6. Step 6: Final answer
    x = 5,107.34

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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.