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Finding the Fourth Proportional to 3,833.82, 5,750.98 and 1,493.66

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Solution

The fourth proportional to 3,833.82, 5,750.98 and 1,493.66 is: 2,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.82 : 5,750.98 = 1,493.66 : x
  2. Step 2: Convert to fraction form
    3,833.82/5,750.98 = 1,493.66/x
  3. Step 3: Cross multiply
    3,833.82x = 5,750.98 × 1,493.66
  4. Step 4: Simplify right side
    3,833.82x = 8,590,008.79
  5. Step 5: Solve for x
    x = 8,590,008.79/3,833.82
  6. Step 6: Final answer
    x = 2,240.59

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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.