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Finding the Fourth Proportional to 3,482.67, 5,197.54 and 3,249.39

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Solution

The fourth proportional to 3,482.67, 5,197.54 and 3,249.39 is: 4,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.67 : 5,197.54 = 3,249.39 : x
  2. Step 2: Convert to fraction form
    3,482.67/5,197.54 = 3,249.39/x
  3. Step 3: Cross multiply
    3,482.67x = 5,197.54 × 3,249.39
  4. Step 4: Simplify right side
    3,482.67x = 16,888,826.38
  5. Step 5: Solve for x
    x = 16,888,826.38/3,482.67
  6. Step 6: Final answer
    x = 4,849.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.