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Finding the Fourth Proportional to 3,833.77, 5,752.84 and 1,493.47

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Solution

The fourth proportional to 3,833.77, 5,752.84 and 1,493.47 is: 2,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.77 : 5,752.84 = 1,493.47 : x
  2. Step 2: Convert to fraction form
    3,833.77/5,752.84 = 1,493.47/x
  3. Step 3: Cross multiply
    3,833.77x = 5,752.84 × 1,493.47
  4. Step 4: Simplify right side
    3,833.77x = 8,591,693.95
  5. Step 5: Solve for x
    x = 8,591,693.95/3,833.77
  6. Step 6: Final answer
    x = 2,241.06

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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.