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Finding the Fourth Proportional to 3,709.68, 5,559.70 and 2,777.90

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Solution

The fourth proportional to 3,709.68, 5,559.70 and 2,777.90 is: 4,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.68 : 5,559.70 = 2,777.90 : x
  2. Step 2: Convert to fraction form
    3,709.68/5,559.70 = 2,777.90/x
  3. Step 3: Cross multiply
    3,709.68x = 5,559.70 × 2,777.90
  4. Step 4: Simplify right side
    3,709.68x = 15,444,290.63
  5. Step 5: Solve for x
    x = 15,444,290.63/3,709.68
  6. Step 6: Final answer
    x = 4,163.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.