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Finding the Fourth Proportional to 5,662.16, 8,494.11 and 2,153.64

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Solution

The fourth proportional to 5,662.16, 8,494.11 and 2,153.64 is: 3,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.16 : 8,494.11 = 2,153.64 : x
  2. Step 2: Convert to fraction form
    5,662.16/8,494.11 = 2,153.64/x
  3. Step 3: Cross multiply
    5,662.16x = 8,494.11 × 2,153.64
  4. Step 4: Simplify right side
    5,662.16x = 18,293,255.06
  5. Step 5: Solve for x
    x = 18,293,255.06/5,662.16
  6. Step 6: Final answer
    x = 3,230.79

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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.