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Finding the Fourth Proportional to 3,711.60, 5,559.30 and 1,628.82

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Solution

The fourth proportional to 3,711.60, 5,559.30 and 1,628.82 is: 2,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.60 : 5,559.30 = 1,628.82 : x
  2. Step 2: Convert to fraction form
    3,711.60/5,559.30 = 1,628.82/x
  3. Step 3: Cross multiply
    3,711.60x = 5,559.30 × 1,628.82
  4. Step 4: Simplify right side
    3,711.60x = 9,055,099.03
  5. Step 5: Solve for x
    x = 9,055,099.03/3,711.60
  6. Step 6: Final answer
    x = 2,439.68

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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.