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Finding the Fourth Proportional to 3,840.92, 5,764.44 and 1,649.66

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Solution

The fourth proportional to 3,840.92, 5,764.44 and 1,649.66 is: 2,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.92 : 5,764.44 = 1,649.66 : x
  2. Step 2: Convert to fraction form
    3,840.92/5,764.44 = 1,649.66/x
  3. Step 3: Cross multiply
    3,840.92x = 5,764.44 × 1,649.66
  4. Step 4: Simplify right side
    3,840.92x = 9,509,366.09
  5. Step 5: Solve for x
    x = 9,509,366.09/3,840.92
  6. Step 6: Final answer
    x = 2,475.80

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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.