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Finding the Fourth Proportional to 5,821.54, 8,016.24 and 5,214.67

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Solution

The fourth proportional to 5,821.54, 8,016.24 and 5,214.67 is: 7,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.54 : 8,016.24 = 5,214.67 : x
  2. Step 2: Convert to fraction form
    5,821.54/8,016.24 = 5,214.67/x
  3. Step 3: Cross multiply
    5,821.54x = 8,016.24 × 5,214.67
  4. Step 4: Simplify right side
    5,821.54x = 41,802,046.24
  5. Step 5: Solve for x
    x = 41,802,046.24/5,821.54
  6. Step 6: Final answer
    x = 7,180.58

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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.