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Finding the Fourth Proportional to 5,906.24, 8,859.38 and 2,208.42

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Solution

The fourth proportional to 5,906.24, 8,859.38 and 2,208.42 is: 3,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.24 : 8,859.38 = 2,208.42 : x
  2. Step 2: Convert to fraction form
    5,906.24/8,859.38 = 2,208.42/x
  3. Step 3: Cross multiply
    5,906.24x = 8,859.38 × 2,208.42
  4. Step 4: Simplify right side
    5,906.24x = 19,565,220.94
  5. Step 5: Solve for x
    x = 19,565,220.94/5,906.24
  6. Step 6: Final answer
    x = 3,312.64

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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.