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Finding the Fourth Proportional to 4,664.98, 6,986.70 and 4,249.79

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Solution

The fourth proportional to 4,664.98, 6,986.70 and 4,249.79 is: 6,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.98 : 6,986.70 = 4,249.79 : x
  2. Step 2: Convert to fraction form
    4,664.98/6,986.70 = 4,249.79/x
  3. Step 3: Cross multiply
    4,664.98x = 6,986.70 × 4,249.79
  4. Step 4: Simplify right side
    4,664.98x = 29,692,007.79
  5. Step 5: Solve for x
    x = 29,692,007.79/4,664.98
  6. Step 6: Final answer
    x = 6,364.87

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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.