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Finding the Fourth Proportional to 3,537.88, 5,306.82 and 2,167

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Solution

The fourth proportional to 3,537.88, 5,306.82 and 2,167 is: 3,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.88 : 5,306.82 = 2,167 : x
  2. Step 2: Convert to fraction form
    3,537.88/5,306.82 = 2,167/x
  3. Step 3: Cross multiply
    3,537.88x = 5,306.82 × 2,167
  4. Step 4: Simplify right side
    3,537.88x = 11,499,878.94
  5. Step 5: Solve for x
    x = 11,499,878.94/3,537.88
  6. Step 6: Final answer
    x = 3,250.50

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1.5x scale

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.