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Finding the Fourth Proportional to 4,936.55, 7,405.20 and 1,649.66

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Solution

The fourth proportional to 4,936.55, 7,405.20 and 1,649.66 is: 2,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.55 : 7,405.20 = 1,649.66 : x
  2. Step 2: Convert to fraction form
    4,936.55/7,405.20 = 1,649.66/x
  3. Step 3: Cross multiply
    4,936.55x = 7,405.20 × 1,649.66
  4. Step 4: Simplify right side
    4,936.55x = 12,216,025.21
  5. Step 5: Solve for x
    x = 12,216,025.21/4,936.55
  6. Step 6: Final answer
    x = 2,474.61

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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.