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Finding the Fourth Proportional to 3,899.72, 5,382.20 and 2,220.72

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Solution

The fourth proportional to 3,899.72, 5,382.20 and 2,220.72 is: 3,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.72 : 5,382.20 = 2,220.72 : x
  2. Step 2: Convert to fraction form
    3,899.72/5,382.20 = 2,220.72/x
  3. Step 3: Cross multiply
    3,899.72x = 5,382.20 × 2,220.72
  4. Step 4: Simplify right side
    3,899.72x = 11,952,359.18
  5. Step 5: Solve for x
    x = 11,952,359.18/3,899.72
  6. Step 6: Final answer
    x = 3,064.93

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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.