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Finding the Fourth Proportional to 3,626.52, 5,438.70 and 1,028.76

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Solution

The fourth proportional to 3,626.52, 5,438.70 and 1,028.76 is: 1,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.52 : 5,438.70 = 1,028.76 : x
  2. Step 2: Convert to fraction form
    3,626.52/5,438.70 = 1,028.76/x
  3. Step 3: Cross multiply
    3,626.52x = 5,438.70 × 1,028.76
  4. Step 4: Simplify right side
    3,626.52x = 5,595,117.01
  5. Step 5: Solve for x
    x = 5,595,117.01/3,626.52
  6. Step 6: Final answer
    x = 1,542.83

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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.