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Finding the Fourth Proportional to 4,550.70, 6,826.04 and 1,777.66

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Solution

The fourth proportional to 4,550.70, 6,826.04 and 1,777.66 is: 2,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.70 : 6,826.04 = 1,777.66 : x
  2. Step 2: Convert to fraction form
    4,550.70/6,826.04 = 1,777.66/x
  3. Step 3: Cross multiply
    4,550.70x = 6,826.04 × 1,777.66
  4. Step 4: Simplify right side
    4,550.70x = 12,134,378.27
  5. Step 5: Solve for x
    x = 12,134,378.27/4,550.70
  6. Step 6: Final answer
    x = 2,666.49

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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.