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Finding the Fourth Proportional to 4,606.46, 6,357.03 and 2,839.22

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Solution

The fourth proportional to 4,606.46, 6,357.03 and 2,839.22 is: 3,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.46 : 6,357.03 = 2,839.22 : x
  2. Step 2: Convert to fraction form
    4,606.46/6,357.03 = 2,839.22/x
  3. Step 3: Cross multiply
    4,606.46x = 6,357.03 × 2,839.22
  4. Step 4: Simplify right side
    4,606.46x = 18,049,006.72
  5. Step 5: Solve for x
    x = 18,049,006.72/4,606.46
  6. Step 6: Final answer
    x = 3,918.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.