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Finding the Fourth Proportional to 3,709.50, 5,559.46 and 2,777.76

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Solution

The fourth proportional to 3,709.50, 5,559.46 and 2,777.76 is: 4,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.50 : 5,559.46 = 2,777.76 : x
  2. Step 2: Convert to fraction form
    3,709.50/5,559.46 = 2,777.76/x
  3. Step 3: Cross multiply
    3,709.50x = 5,559.46 × 2,777.76
  4. Step 4: Simplify right side
    3,709.50x = 15,442,845.61
  5. Step 5: Solve for x
    x = 15,442,845.61/3,709.50
  6. Step 6: Final answer
    x = 4,163.05

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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.