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Finding the Fourth Proportional to 4,462.44, 6,685.02 and 3,434.28

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Solution

The fourth proportional to 4,462.44, 6,685.02 and 3,434.28 is: 5,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.44 : 6,685.02 = 3,434.28 : x
  2. Step 2: Convert to fraction form
    4,462.44/6,685.02 = 3,434.28/x
  3. Step 3: Cross multiply
    4,462.44x = 6,685.02 × 3,434.28
  4. Step 4: Simplify right side
    4,462.44x = 22,958,230.49
  5. Step 5: Solve for x
    x = 22,958,230.49/4,462.44
  6. Step 6: Final answer
    x = 5,144.77

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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.