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Finding the Fourth Proportional to 5,674.18, 8,508 and 2,207.38

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Solution

The fourth proportional to 5,674.18, 8,508 and 2,207.38 is: 3,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.18 : 8,508 = 2,207.38 : x
  2. Step 2: Convert to fraction form
    5,674.18/8,508 = 2,207.38/x
  3. Step 3: Cross multiply
    5,674.18x = 8,508 × 2,207.38
  4. Step 4: Simplify right side
    5,674.18x = 18,780,389.04
  5. Step 5: Solve for x
    x = 18,780,389.04/5,674.18
  6. Step 6: Final answer
    x = 3,309.80

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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.