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Finding the Fourth Proportional to 3,424.96, 5,141.76 and 3,243.52

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Solution

The fourth proportional to 3,424.96, 5,141.76 and 3,243.52 is: 4,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.96 : 5,141.76 = 3,243.52 : x
  2. Step 2: Convert to fraction form
    3,424.96/5,141.76 = 3,243.52/x
  3. Step 3: Cross multiply
    3,424.96x = 5,141.76 × 3,243.52
  4. Step 4: Simplify right side
    3,424.96x = 16,677,401.40
  5. Step 5: Solve for x
    x = 16,677,401.40/3,424.96
  6. Step 6: Final answer
    x = 4,869.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.