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Finding the Fourth Proportional to 5,091.60, 7,626.60 and 4,227.60

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Solution

The fourth proportional to 5,091.60, 7,626.60 and 4,227.60 is: 6,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.60 : 7,626.60 = 4,227.60 : x
  2. Step 2: Convert to fraction form
    5,091.60/7,626.60 = 4,227.60/x
  3. Step 3: Cross multiply
    5,091.60x = 7,626.60 × 4,227.60
  4. Step 4: Simplify right side
    5,091.60x = 32,242,214.16
  5. Step 5: Solve for x
    x = 32,242,214.16/5,091.60
  6. Step 6: Final answer
    x = 6,332.43

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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.