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Finding the Fourth Proportional to 3,821.52, 5,276.81 and 3,113.48

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Solution

The fourth proportional to 3,821.52, 5,276.81 and 3,113.48 is: 4,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.52 : 5,276.81 = 3,113.48 : x
  2. Step 2: Convert to fraction form
    3,821.52/5,276.81 = 3,113.48/x
  3. Step 3: Cross multiply
    3,821.52x = 5,276.81 × 3,113.48
  4. Step 4: Simplify right side
    3,821.52x = 16,429,229.21
  5. Step 5: Solve for x
    x = 16,429,229.21/3,821.52
  6. Step 6: Final answer
    x = 4,299.14

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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.