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Finding the Fourth Proportional to 5,682.04, 7,843.64 and 3,820.12

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Solution

The fourth proportional to 5,682.04, 7,843.64 and 3,820.12 is: 5,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.04 : 7,843.64 = 3,820.12 : x
  2. Step 2: Convert to fraction form
    5,682.04/7,843.64 = 3,820.12/x
  3. Step 3: Cross multiply
    5,682.04x = 7,843.64 × 3,820.12
  4. Step 4: Simplify right side
    5,682.04x = 29,963,587.72
  5. Step 5: Solve for x
    x = 29,963,587.72/5,682.04
  6. Step 6: Final answer
    x = 5,273.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.