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Finding the Fourth Proportional to 3,338.52, 5,006.34 and 1,028.76

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Solution

The fourth proportional to 3,338.52, 5,006.34 and 1,028.76 is: 1,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.52 : 5,006.34 = 1,028.76 : x
  2. Step 2: Convert to fraction form
    3,338.52/5,006.34 = 1,028.76/x
  3. Step 3: Cross multiply
    3,338.52x = 5,006.34 × 1,028.76
  4. Step 4: Simplify right side
    3,338.52x = 5,150,322.34
  5. Step 5: Solve for x
    x = 5,150,322.34/3,338.52
  6. Step 6: Final answer
    x = 1,542.70

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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.