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Finding the Fourth Proportional to 3,499.38, 4,827.42 and 3,249.27

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Solution

The fourth proportional to 3,499.38, 4,827.42 and 3,249.27 is: 4,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.38 : 4,827.42 = 3,249.27 : x
  2. Step 2: Convert to fraction form
    3,499.38/4,827.42 = 3,249.27/x
  3. Step 3: Cross multiply
    3,499.38x = 4,827.42 × 3,249.27
  4. Step 4: Simplify right side
    3,499.38x = 15,685,590.98
  5. Step 5: Solve for x
    x = 15,685,590.98/3,499.38
  6. Step 6: Final answer
    x = 4,482.39

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Why These Related Problems?

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