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Finding the Fourth Proportional to 5,340.82, 8,046.85 and 4,821.41

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Solution

The fourth proportional to 5,340.82, 8,046.85 and 4,821.41 is: 7,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.82 : 8,046.85 = 4,821.41 : x
  2. Step 2: Convert to fraction form
    5,340.82/8,046.85 = 4,821.41/x
  3. Step 3: Cross multiply
    5,340.82x = 8,046.85 × 4,821.41
  4. Step 4: Simplify right side
    5,340.82x = 38,797,163.06
  5. Step 5: Solve for x
    x = 38,797,163.06/5,340.82
  6. Step 6: Final answer
    x = 7,264.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.