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Finding the Fourth Proportional to 3,069.72, 4,239.12 and 2,022.36

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Solution

The fourth proportional to 3,069.72, 4,239.12 and 2,022.36 is: 2,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.72 : 4,239.12 = 2,022.36 : x
  2. Step 2: Convert to fraction form
    3,069.72/4,239.12 = 2,022.36/x
  3. Step 3: Cross multiply
    3,069.72x = 4,239.12 × 2,022.36
  4. Step 4: Simplify right side
    3,069.72x = 8,573,026.72
  5. Step 5: Solve for x
    x = 8,573,026.72/3,069.72
  6. Step 6: Final answer
    x = 2,792.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.