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Finding the Fourth Proportional to 5,906.46, 8,859.93 and 2,208.31

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Solution

The fourth proportional to 5,906.46, 8,859.93 and 2,208.31 is: 3,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.46 : 8,859.93 = 2,208.31 : x
  2. Step 2: Convert to fraction form
    5,906.46/8,859.93 = 2,208.31/x
  3. Step 3: Cross multiply
    5,906.46x = 8,859.93 × 2,208.31
  4. Step 4: Simplify right side
    5,906.46x = 19,565,472.02
  5. Step 5: Solve for x
    x = 19,565,472.02/5,906.46
  6. Step 6: Final answer
    x = 3,312.55

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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.