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Finding the Fourth Proportional to 4,218.22, 5,821.12 and 2,450.86

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Solution

The fourth proportional to 4,218.22, 5,821.12 and 2,450.86 is: 3,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.22 : 5,821.12 = 2,450.86 : x
  2. Step 2: Convert to fraction form
    4,218.22/5,821.12 = 2,450.86/x
  3. Step 3: Cross multiply
    4,218.22x = 5,821.12 × 2,450.86
  4. Step 4: Simplify right side
    4,218.22x = 14,266,750.16
  5. Step 5: Solve for x
    x = 14,266,750.16/4,218.22
  6. Step 6: Final answer
    x = 3,382.17

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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.