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Finding the Fourth Proportional to 4,218.62, 5,822.01 and 2,450.49

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Solution

The fourth proportional to 4,218.62, 5,822.01 and 2,450.49 is: 3,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.62 : 5,822.01 = 2,450.49 : x
  2. Step 2: Convert to fraction form
    4,218.62/5,822.01 = 2,450.49/x
  3. Step 3: Cross multiply
    4,218.62x = 5,822.01 × 2,450.49
  4. Step 4: Simplify right side
    4,218.62x = 14,266,777.28
  5. Step 5: Solve for x
    x = 14,266,777.28/4,218.62
  6. Step 6: Final answer
    x = 3,381.86

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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.