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Finding the Fourth Proportional to 4,069.24, 6,114.12 and 3,905.22

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Solution

The fourth proportional to 4,069.24, 6,114.12 and 3,905.22 is: 5,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.24 : 6,114.12 = 3,905.22 : x
  2. Step 2: Convert to fraction form
    4,069.24/6,114.12 = 3,905.22/x
  3. Step 3: Cross multiply
    4,069.24x = 6,114.12 × 3,905.22
  4. Step 4: Simplify right side
    4,069.24x = 23,876,983.71
  5. Step 5: Solve for x
    x = 23,876,983.71/4,069.24
  6. Step 6: Final answer
    x = 5,867.68

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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.