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Finding the Fourth Proportional to 4,133.87, 6,201.71 and 1,212.20

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Solution

The fourth proportional to 4,133.87, 6,201.71 and 1,212.20 is: 1,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.87 : 6,201.71 = 1,212.20 : x
  2. Step 2: Convert to fraction form
    4,133.87/6,201.71 = 1,212.20/x
  3. Step 3: Cross multiply
    4,133.87x = 6,201.71 × 1,212.20
  4. Step 4: Simplify right side
    4,133.87x = 7,517,675.79
  5. Step 5: Solve for x
    x = 7,517,675.79/4,133.87
  6. Step 6: Final answer
    x = 1,818.56

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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.