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Finding the Fourth Proportional to 5,490.75, 8,237.16 and 2,204.10

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Solution

The fourth proportional to 5,490.75, 8,237.16 and 2,204.10 is: 3,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.75 : 8,237.16 = 2,204.10 : x
  2. Step 2: Convert to fraction form
    5,490.75/8,237.16 = 2,204.10/x
  3. Step 3: Cross multiply
    5,490.75x = 8,237.16 × 2,204.10
  4. Step 4: Simplify right side
    5,490.75x = 18,155,524.36
  5. Step 5: Solve for x
    x = 18,155,524.36/5,490.75
  6. Step 6: Final answer
    x = 3,306.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.