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Finding the Fourth Proportional to 3,086.74, 4,628.22 and 1,626.58

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Solution

The fourth proportional to 3,086.74, 4,628.22 and 1,626.58 is: 2,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.74 : 4,628.22 = 1,626.58 : x
  2. Step 2: Convert to fraction form
    3,086.74/4,628.22 = 1,626.58/x
  3. Step 3: Cross multiply
    3,086.74x = 4,628.22 × 1,626.58
  4. Step 4: Simplify right side
    3,086.74x = 7,528,170.09
  5. Step 5: Solve for x
    x = 7,528,170.09/3,086.74
  6. Step 6: Final answer
    x = 2,438.87

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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.