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Finding the Fourth Proportional to 4,474.26, 6,709.77 and 1,701.68

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Solution

The fourth proportional to 4,474.26, 6,709.77 and 1,701.68 is: 2,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.26 : 6,709.77 = 1,701.68 : x
  2. Step 2: Convert to fraction form
    4,474.26/6,709.77 = 1,701.68/x
  3. Step 3: Cross multiply
    4,474.26x = 6,709.77 × 1,701.68
  4. Step 4: Simplify right side
    4,474.26x = 11,417,847.86
  5. Step 5: Solve for x
    x = 11,417,847.86/4,474.26
  6. Step 6: Final answer
    x = 2,551.90

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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.