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Finding the Fourth Proportional to 3,906.81, 5,859.91 and 1,566.72

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Solution

The fourth proportional to 3,906.81, 5,859.91 and 1,566.72 is: 2,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.81 : 5,859.91 = 1,566.72 : x
  2. Step 2: Convert to fraction form
    3,906.81/5,859.91 = 1,566.72/x
  3. Step 3: Cross multiply
    3,906.81x = 5,859.91 × 1,566.72
  4. Step 4: Simplify right side
    3,906.81x = 9,180,838.20
  5. Step 5: Solve for x
    x = 9,180,838.20/3,906.81
  6. Step 6: Final answer
    x = 2,349.96

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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.