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Finding the Fourth Proportional to 3,834.74, 5,750.97 and 1,335.81

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Solution

The fourth proportional to 3,834.74, 5,750.97 and 1,335.81 is: 2,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.74 : 5,750.97 = 1,335.81 : x
  2. Step 2: Convert to fraction form
    3,834.74/5,750.97 = 1,335.81/x
  3. Step 3: Cross multiply
    3,834.74x = 5,750.97 × 1,335.81
  4. Step 4: Simplify right side
    3,834.74x = 7,682,203.24
  5. Step 5: Solve for x
    x = 7,682,203.24/3,834.74
  6. Step 6: Final answer
    x = 2,003.32

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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.