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Finding the Fourth Proportional to 3,467.82, 5,200.50 and 1,275.96

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Solution

The fourth proportional to 3,467.82, 5,200.50 and 1,275.96 is: 1,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.82 : 5,200.50 = 1,275.96 : x
  2. Step 2: Convert to fraction form
    3,467.82/5,200.50 = 1,275.96/x
  3. Step 3: Cross multiply
    3,467.82x = 5,200.50 × 1,275.96
  4. Step 4: Simplify right side
    3,467.82x = 6,635,629.98
  5. Step 5: Solve for x
    x = 6,635,629.98/3,467.82
  6. Step 6: Final answer
    x = 1,913.49

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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.