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Finding the Fourth Proportional to 3,833.52, 5,746.18 and 1,982.77

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Solution

The fourth proportional to 3,833.52, 5,746.18 and 1,982.77 is: 2,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.52 : 5,746.18 = 1,982.77 : x
  2. Step 2: Convert to fraction form
    3,833.52/5,746.18 = 1,982.77/x
  3. Step 3: Cross multiply
    3,833.52x = 5,746.18 × 1,982.77
  4. Step 4: Simplify right side
    3,833.52x = 11,393,336.22
  5. Step 5: Solve for x
    x = 11,393,336.22/3,833.52
  6. Step 6: Final answer
    x = 2,972.03

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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.