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Finding the Fourth Proportional to 4,550.76, 6,826.15 and 1,263.86

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Solution

The fourth proportional to 4,550.76, 6,826.15 and 1,263.86 is: 1,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.76 : 6,826.15 = 1,263.86 : x
  2. Step 2: Convert to fraction form
    4,550.76/6,826.15 = 1,263.86/x
  3. Step 3: Cross multiply
    4,550.76x = 6,826.15 × 1,263.86
  4. Step 4: Simplify right side
    4,550.76x = 8,627,297.94
  5. Step 5: Solve for x
    x = 8,627,297.94/4,550.76
  6. Step 6: Final answer
    x = 1,895.79

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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.