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Finding the Fourth Proportional to 3,488.00, 5,232.45 and 1,296.44

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Solution

The fourth proportional to 3,488.00, 5,232.45 and 1,296.44 is: 1,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.00 : 5,232.45 = 1,296.44 : x
  2. Step 2: Convert to fraction form
    3,488.00/5,232.45 = 1,296.44/x
  3. Step 3: Cross multiply
    3,488.00x = 5,232.45 × 1,296.44
  4. Step 4: Simplify right side
    3,488.00x = 6,783,555.80
  5. Step 5: Solve for x
    x = 6,783,555.80/3,488.00
  6. Step 6: Final answer
    x = 1,944.83

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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.