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Finding the Fourth Proportional to 4,694.11, 7,043.61 and 3,406.21

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Solution

The fourth proportional to 4,694.11, 7,043.61 and 3,406.21 is: 5,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.11 : 7,043.61 = 3,406.21 : x
  2. Step 2: Convert to fraction form
    4,694.11/7,043.61 = 3,406.21/x
  3. Step 3: Cross multiply
    4,694.11x = 7,043.61 × 3,406.21
  4. Step 4: Simplify right side
    4,694.11x = 23,992,014.82
  5. Step 5: Solve for x
    x = 23,992,014.82/4,694.11
  6. Step 6: Final answer
    x = 5,111.09

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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.