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Finding the Fourth Proportional to 3,306.92, 4,961.10 and 1,357.88

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Solution

The fourth proportional to 3,306.92, 4,961.10 and 1,357.88 is: 2,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.92 : 4,961.10 = 1,357.88 : x
  2. Step 2: Convert to fraction form
    3,306.92/4,961.10 = 1,357.88/x
  3. Step 3: Cross multiply
    3,306.92x = 4,961.10 × 1,357.88
  4. Step 4: Simplify right side
    3,306.92x = 6,736,578.47
  5. Step 5: Solve for x
    x = 6,736,578.47/3,306.92
  6. Step 6: Final answer
    x = 2,037.12

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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.