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Finding the Fourth Proportional to 3,728.16, 5,589.42 and 2,266.92

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Solution

The fourth proportional to 3,728.16, 5,589.42 and 2,266.92 is: 3,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.16 : 5,589.42 = 2,266.92 : x
  2. Step 2: Convert to fraction form
    3,728.16/5,589.42 = 2,266.92/x
  3. Step 3: Cross multiply
    3,728.16x = 5,589.42 × 2,266.92
  4. Step 4: Simplify right side
    3,728.16x = 12,670,767.99
  5. Step 5: Solve for x
    x = 12,670,767.99/3,728.16
  6. Step 6: Final answer
    x = 3,398.67

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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.