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Finding the Fourth Proportional to 6,200.91, 8,561.03 and 4,315.77

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Solution

The fourth proportional to 6,200.91, 8,561.03 and 4,315.77 is: 5,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.91 : 8,561.03 = 4,315.77 : x
  2. Step 2: Convert to fraction form
    6,200.91/8,561.03 = 4,315.77/x
  3. Step 3: Cross multiply
    6,200.91x = 8,561.03 × 4,315.77
  4. Step 4: Simplify right side
    6,200.91x = 36,947,414.86
  5. Step 5: Solve for x
    x = 36,947,414.86/6,200.91
  6. Step 6: Final answer
    x = 5,958.39

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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.