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Finding the Fourth Proportional to 3,397.11, 4,709.71 and 3,276.82

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Solution

The fourth proportional to 3,397.11, 4,709.71 and 3,276.82 is: 4,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.11 : 4,709.71 = 3,276.82 : x
  2. Step 2: Convert to fraction form
    3,397.11/4,709.71 = 3,276.82/x
  3. Step 3: Cross multiply
    3,397.11x = 4,709.71 × 3,276.82
  4. Step 4: Simplify right side
    3,397.11x = 15,432,871.92
  5. Step 5: Solve for x
    x = 15,432,871.92/3,397.11
  6. Step 6: Final answer
    x = 4,542.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.