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Finding the Fourth Proportional to 5,682.96, 7,843.65 and 3,325.68

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Solution

The fourth proportional to 5,682.96, 7,843.65 and 3,325.68 is: 4,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.96 : 7,843.65 = 3,325.68 : x
  2. Step 2: Convert to fraction form
    5,682.96/7,843.65 = 3,325.68/x
  3. Step 3: Cross multiply
    5,682.96x = 7,843.65 × 3,325.68
  4. Step 4: Simplify right side
    5,682.96x = 26,085,469.93
  5. Step 5: Solve for x
    x = 26,085,469.93/5,682.96
  6. Step 6: Final answer
    x = 4,590.12

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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.