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Finding the Fourth Proportional to 5,682.54, 7,844.33 and 3,820.62

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Solution

The fourth proportional to 5,682.54, 7,844.33 and 3,820.62 is: 5,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.54 : 7,844.33 = 3,820.62 : x
  2. Step 2: Convert to fraction form
    5,682.54/7,844.33 = 3,820.62/x
  3. Step 3: Cross multiply
    5,682.54x = 7,844.33 × 3,820.62
  4. Step 4: Simplify right side
    5,682.54x = 29,970,204.08
  5. Step 5: Solve for x
    x = 29,970,204.08/5,682.54
  6. Step 6: Final answer
    x = 5,274.09

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1.5x scale

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.