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Finding the Fourth Proportional to 4,076.24, 5,625.24 and 2,213.24

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Solution

The fourth proportional to 4,076.24, 5,625.24 and 2,213.24 is: 3,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.24 : 5,625.24 = 2,213.24 : x
  2. Step 2: Convert to fraction form
    4,076.24/5,625.24 = 2,213.24/x
  3. Step 3: Cross multiply
    4,076.24x = 5,625.24 × 2,213.24
  4. Step 4: Simplify right side
    4,076.24x = 12,450,006.18
  5. Step 5: Solve for x
    x = 12,450,006.18/4,076.24
  6. Step 6: Final answer
    x = 3,054.29

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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.