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Finding the Fourth Proportional to 5,906.71, 8,847.91 and 4,266.55

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Solution

The fourth proportional to 5,906.71, 8,847.91 and 4,266.55 is: 6,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.71 : 8,847.91 = 4,266.55 : x
  2. Step 2: Convert to fraction form
    5,906.71/8,847.91 = 4,266.55/x
  3. Step 3: Cross multiply
    5,906.71x = 8,847.91 × 4,266.55
  4. Step 4: Simplify right side
    5,906.71x = 37,750,050.41
  5. Step 5: Solve for x
    x = 37,750,050.41/5,906.71
  6. Step 6: Final answer
    x = 6,391.05

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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.