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Finding the Fourth Proportional to 4,691.42, 7,037.89 and 1,769.95

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Solution

The fourth proportional to 4,691.42, 7,037.89 and 1,769.95 is: 2,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.42 : 7,037.89 = 1,769.95 : x
  2. Step 2: Convert to fraction form
    4,691.42/7,037.89 = 1,769.95/x
  3. Step 3: Cross multiply
    4,691.42x = 7,037.89 × 1,769.95
  4. Step 4: Simplify right side
    4,691.42x = 12,456,717.78
  5. Step 5: Solve for x
    x = 12,456,717.78/4,691.42
  6. Step 6: Final answer
    x = 2,655.21

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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.