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Finding the Fourth Proportional to 3,826.94, 5,733.62 and 1,600.87

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Solution

The fourth proportional to 3,826.94, 5,733.62 and 1,600.87 is: 2,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.94 : 5,733.62 = 1,600.87 : x
  2. Step 2: Convert to fraction form
    3,826.94/5,733.62 = 1,600.87/x
  3. Step 3: Cross multiply
    3,826.94x = 5,733.62 × 1,600.87
  4. Step 4: Simplify right side
    3,826.94x = 9,178,757.91
  5. Step 5: Solve for x
    x = 9,178,757.91/3,826.94
  6. Step 6: Final answer
    x = 2,398.46

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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.