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Finding the Fourth Proportional to 5,626.64, 8,441.85 and 3,166.27

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Solution

The fourth proportional to 5,626.64, 8,441.85 and 3,166.27 is: 4,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.64 : 8,441.85 = 3,166.27 : x
  2. Step 2: Convert to fraction form
    5,626.64/8,441.85 = 3,166.27/x
  3. Step 3: Cross multiply
    5,626.64x = 8,441.85 × 3,166.27
  4. Step 4: Simplify right side
    5,626.64x = 26,729,176.40
  5. Step 5: Solve for x
    x = 26,729,176.40/5,626.64
  6. Step 6: Final answer
    x = 4,750.47

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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.