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Finding the Fourth Proportional to 5,210.78, 7,193.21 and 3,324.89

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Solution

The fourth proportional to 5,210.78, 7,193.21 and 3,324.89 is: 4,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.78 : 7,193.21 = 3,324.89 : x
  2. Step 2: Convert to fraction form
    5,210.78/7,193.21 = 3,324.89/x
  3. Step 3: Cross multiply
    5,210.78x = 7,193.21 × 3,324.89
  4. Step 4: Simplify right side
    5,210.78x = 23,916,579.41
  5. Step 5: Solve for x
    x = 23,916,579.41/5,210.78
  6. Step 6: Final answer
    x = 4,589.83

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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.