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Finding the Fourth Proportional to 5,662.24, 7,814.27 and 3,272.68

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Solution

The fourth proportional to 5,662.24, 7,814.27 and 3,272.68 is: 4,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.24 : 7,814.27 = 3,272.68 : x
  2. Step 2: Convert to fraction form
    5,662.24/7,814.27 = 3,272.68/x
  3. Step 3: Cross multiply
    5,662.24x = 7,814.27 × 3,272.68
  4. Step 4: Simplify right side
    5,662.24x = 25,573,605.14
  5. Step 5: Solve for x
    x = 25,573,605.14/5,662.24
  6. Step 6: Final answer
    x = 4,516.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.