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Finding the Fourth Proportional to 4,069.47, 6,112.41 and 2,429.22

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Solution

The fourth proportional to 4,069.47, 6,112.41 and 2,429.22 is: 3,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.47 : 6,112.41 = 2,429.22 : x
  2. Step 2: Convert to fraction form
    4,069.47/6,112.41 = 2,429.22/x
  3. Step 3: Cross multiply
    4,069.47x = 6,112.41 × 2,429.22
  4. Step 4: Simplify right side
    4,069.47x = 14,848,388.62
  5. Step 5: Solve for x
    x = 14,848,388.62/4,069.47
  6. Step 6: Final answer
    x = 3,648.73

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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.