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Finding the Fourth Proportional to 4,606.26, 6,908.42 and 1,486.56

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Solution

The fourth proportional to 4,606.26, 6,908.42 and 1,486.56 is: 2,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.26 : 6,908.42 = 1,486.56 : x
  2. Step 2: Convert to fraction form
    4,606.26/6,908.42 = 1,486.56/x
  3. Step 3: Cross multiply
    4,606.26x = 6,908.42 × 1,486.56
  4. Step 4: Simplify right side
    4,606.26x = 10,269,780.84
  5. Step 5: Solve for x
    x = 10,269,780.84/4,606.26
  6. Step 6: Final answer
    x = 2,229.53

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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.