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Finding the Fourth Proportional to 4,936.53, 7,405.35 and 1,649.85

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Solution

The fourth proportional to 4,936.53, 7,405.35 and 1,649.85 is: 2,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.53 : 7,405.35 = 1,649.85 : x
  2. Step 2: Convert to fraction form
    4,936.53/7,405.35 = 1,649.85/x
  3. Step 3: Cross multiply
    4,936.53x = 7,405.35 × 1,649.85
  4. Step 4: Simplify right side
    4,936.53x = 12,217,716.70
  5. Step 5: Solve for x
    x = 12,217,716.70/4,936.53
  6. Step 6: Final answer
    x = 2,474.96

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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.