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Finding the Fourth Proportional to 3,530.52, 5,295.96 and 1,338.48

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Solution

The fourth proportional to 3,530.52, 5,295.96 and 1,338.48 is: 2,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.52 : 5,295.96 = 1,338.48 : x
  2. Step 2: Convert to fraction form
    3,530.52/5,295.96 = 1,338.48/x
  3. Step 3: Cross multiply
    3,530.52x = 5,295.96 × 1,338.48
  4. Step 4: Simplify right side
    3,530.52x = 7,088,536.54
  5. Step 5: Solve for x
    x = 7,088,536.54/3,530.52
  6. Step 6: Final answer
    x = 2,007.79

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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.