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Finding the Fourth Proportional to 3,890.96, 5,369.67 and 2,122.64

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Solution

The fourth proportional to 3,890.96, 5,369.67 and 2,122.64 is: 2,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.96 : 5,369.67 = 2,122.64 : x
  2. Step 2: Convert to fraction form
    3,890.96/5,369.67 = 2,122.64/x
  3. Step 3: Cross multiply
    3,890.96x = 5,369.67 × 2,122.64
  4. Step 4: Simplify right side
    3,890.96x = 11,397,849.48
  5. Step 5: Solve for x
    x = 11,397,849.48/3,890.96
  6. Step 6: Final answer
    x = 2,929.32

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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.