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Finding the Fourth Proportional to 4,086.98, 5,640.04 and 2,294.21

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Solution

The fourth proportional to 4,086.98, 5,640.04 and 2,294.21 is: 3,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.98 : 5,640.04 = 2,294.21 : x
  2. Step 2: Convert to fraction form
    4,086.98/5,640.04 = 2,294.21/x
  3. Step 3: Cross multiply
    4,086.98x = 5,640.04 × 2,294.21
  4. Step 4: Simplify right side
    4,086.98x = 12,939,450.27
  5. Step 5: Solve for x
    x = 12,939,450.27/4,086.98
  6. Step 6: Final answer
    x = 3,166.02

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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.