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Finding the Fourth Proportional to 3,839.94, 5,760.45 and 1,649.16

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Solution

The fourth proportional to 3,839.94, 5,760.45 and 1,649.16 is: 2,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.94 : 5,760.45 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    3,839.94/5,760.45 = 1,649.16/x
  3. Step 3: Cross multiply
    3,839.94x = 5,760.45 × 1,649.16
  4. Step 4: Simplify right side
    3,839.94x = 9,499,903.72
  5. Step 5: Solve for x
    x = 9,499,903.72/3,839.94
  6. Step 6: Final answer
    x = 2,473.97

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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.