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Finding the Fourth Proportional to 4,249.66, 6,374.50 and 1,616.56

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Solution

The fourth proportional to 4,249.66, 6,374.50 and 1,616.56 is: 2,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.66 : 6,374.50 = 1,616.56 : x
  2. Step 2: Convert to fraction form
    4,249.66/6,374.50 = 1,616.56/x
  3. Step 3: Cross multiply
    4,249.66x = 6,374.50 × 1,616.56
  4. Step 4: Simplify right side
    4,249.66x = 10,304,761.72
  5. Step 5: Solve for x
    x = 10,304,761.72/4,249.66
  6. Step 6: Final answer
    x = 2,424.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.