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Finding the Fourth Proportional to 3,536, 4,879.68 and 2,139.84

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Solution

The fourth proportional to 3,536, 4,879.68 and 2,139.84 is: 2,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536 : 4,879.68 = 2,139.84 : x
  2. Step 2: Convert to fraction form
    3,536/4,879.68 = 2,139.84/x
  3. Step 3: Cross multiply
    3,536x = 4,879.68 × 2,139.84
  4. Step 4: Simplify right side
    3,536x = 10,441,734.45
  5. Step 5: Solve for x
    x = 10,441,734.45/3,536
  6. Step 6: Final answer
    x = 2,952.98

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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.