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Finding the Fourth Proportional to 5,231.71, 7,216.07 and 3,215.23

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Solution

The fourth proportional to 5,231.71, 7,216.07 and 3,215.23 is: 4,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.71 : 7,216.07 = 3,215.23 : x
  2. Step 2: Convert to fraction form
    5,231.71/7,216.07 = 3,215.23/x
  3. Step 3: Cross multiply
    5,231.71x = 7,216.07 × 3,215.23
  4. Step 4: Simplify right side
    5,231.71x = 23,201,352.72
  5. Step 5: Solve for x
    x = 23,201,352.72/5,231.71
  6. Step 6: Final answer
    x = 4,434.75

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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.