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Finding the Fourth Proportional to 3,212.68, 4,789.03 and 3,178.12

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Solution

The fourth proportional to 3,212.68, 4,789.03 and 3,178.12 is: 4,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.68 : 4,789.03 = 3,178.12 : x
  2. Step 2: Convert to fraction form
    3,212.68/4,789.03 = 3,178.12/x
  3. Step 3: Cross multiply
    3,212.68x = 4,789.03 × 3,178.12
  4. Step 4: Simplify right side
    3,212.68x = 15,220,112.02
  5. Step 5: Solve for x
    x = 15,220,112.02/3,212.68
  6. Step 6: Final answer
    x = 4,737.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.