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Finding the Fourth Proportional to 3,865.26, 5,800.27 and 1,524.86

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Solution

The fourth proportional to 3,865.26, 5,800.27 and 1,524.86 is: 2,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.26 : 5,800.27 = 1,524.86 : x
  2. Step 2: Convert to fraction form
    3,865.26/5,800.27 = 1,524.86/x
  3. Step 3: Cross multiply
    3,865.26x = 5,800.27 × 1,524.86
  4. Step 4: Simplify right side
    3,865.26x = 8,844,599.71
  5. Step 5: Solve for x
    x = 8,844,599.71/3,865.26
  6. Step 6: Final answer
    x = 2,288.23

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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.