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Finding the Fourth Proportional to 4,219.50, 5,824.13 and 2,822.25

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Solution

The fourth proportional to 4,219.50, 5,824.13 and 2,822.25 is: 3,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.50 : 5,824.13 = 2,822.25 : x
  2. Step 2: Convert to fraction form
    4,219.50/5,824.13 = 2,822.25/x
  3. Step 3: Cross multiply
    4,219.50x = 5,824.13 × 2,822.25
  4. Step 4: Simplify right side
    4,219.50x = 16,437,136.78
  5. Step 5: Solve for x
    x = 16,437,136.78/4,219.50
  6. Step 6: Final answer
    x = 3,895.52

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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.