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Finding the Fourth Proportional to 4,694.09, 7,041.60 and 2,228.31

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Solution

The fourth proportional to 4,694.09, 7,041.60 and 2,228.31 is: 3,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.09 : 7,041.60 = 2,228.31 : x
  2. Step 2: Convert to fraction form
    4,694.09/7,041.60 = 2,228.31/x
  3. Step 3: Cross multiply
    4,694.09x = 7,041.60 × 2,228.31
  4. Step 4: Simplify right side
    4,694.09x = 15,690,867.70
  5. Step 5: Solve for x
    x = 15,690,867.70/4,694.09
  6. Step 6: Final answer
    x = 3,342.69

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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.