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Finding the Fourth Proportional to 5,682.54, 8,480.61 and 5,306.55

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Solution

The fourth proportional to 5,682.54, 8,480.61 and 5,306.55 is: 7,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.54 : 8,480.61 = 5,306.55 : x
  2. Step 2: Convert to fraction form
    5,682.54/8,480.61 = 5,306.55/x
  3. Step 3: Cross multiply
    5,682.54x = 8,480.61 × 5,306.55
  4. Step 4: Simplify right side
    5,682.54x = 45,002,781.00
  5. Step 5: Solve for x
    x = 45,002,781.00/5,682.54
  6. Step 6: Final answer
    x = 7,919.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.