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Finding the Fourth Proportional to 5,626.89, 8,440.74 and 2,164.14

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Solution

The fourth proportional to 5,626.89, 8,440.74 and 2,164.14 is: 3,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.89 : 8,440.74 = 2,164.14 : x
  2. Step 2: Convert to fraction form
    5,626.89/8,440.74 = 2,164.14/x
  3. Step 3: Cross multiply
    5,626.89x = 8,440.74 × 2,164.14
  4. Step 4: Simplify right side
    5,626.89x = 18,266,943.06
  5. Step 5: Solve for x
    x = 18,266,943.06/5,626.89
  6. Step 6: Final answer
    x = 3,246.37

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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.