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Finding the Fourth Proportional to 4,936.97, 7,405.25 and 1,649.81

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Solution

The fourth proportional to 4,936.97, 7,405.25 and 1,649.81 is: 2,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.97 : 7,405.25 = 1,649.81 : x
  2. Step 2: Convert to fraction form
    4,936.97/7,405.25 = 1,649.81/x
  3. Step 3: Cross multiply
    4,936.97x = 7,405.25 × 1,649.81
  4. Step 4: Simplify right side
    4,936.97x = 12,217,210.23
  5. Step 5: Solve for x
    x = 12,217,210.23/4,936.97
  6. Step 6: Final answer
    x = 2,474.64

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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.