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Finding the Fourth Proportional to 5,813.12, 8,016.72 and 5,229.92

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Solution

The fourth proportional to 5,813.12, 8,016.72 and 5,229.92 is: 7,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.12 : 8,016.72 = 5,229.92 : x
  2. Step 2: Convert to fraction form
    5,813.12/8,016.72 = 5,229.92/x
  3. Step 3: Cross multiply
    5,813.12x = 8,016.72 × 5,229.92
  4. Step 4: Simplify right side
    5,813.12x = 41,926,804.26
  5. Step 5: Solve for x
    x = 41,926,804.26/5,813.12
  6. Step 6: Final answer
    x = 7,212.44

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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.