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Finding the Fourth Proportional to 3,833.91, 5,750.01 and 1,493.98

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Solution

The fourth proportional to 3,833.91, 5,750.01 and 1,493.98 is: 2,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.91 : 5,750.01 = 1,493.98 : x
  2. Step 2: Convert to fraction form
    3,833.91/5,750.01 = 1,493.98/x
  3. Step 3: Cross multiply
    3,833.91x = 5,750.01 × 1,493.98
  4. Step 4: Simplify right side
    3,833.91x = 8,590,385.56
  5. Step 5: Solve for x
    x = 8,590,385.56/3,833.91
  6. Step 6: Final answer
    x = 2,240.63

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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.