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Finding the Fourth Proportional to 3,467.96, 5,200.74 and 1,387.43

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Solution

The fourth proportional to 3,467.96, 5,200.74 and 1,387.43 is: 2,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.96 : 5,200.74 = 1,387.43 : x
  2. Step 2: Convert to fraction form
    3,467.96/5,200.74 = 1,387.43/x
  3. Step 3: Cross multiply
    3,467.96x = 5,200.74 × 1,387.43
  4. Step 4: Simplify right side
    3,467.96x = 7,215,656.20
  5. Step 5: Solve for x
    x = 7,215,656.20/3,467.96
  6. Step 6: Final answer
    x = 2,080.66

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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.