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Finding the Fourth Proportional to 3,467.09, 5,200.64 and 1,687.42

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Solution

The fourth proportional to 3,467.09, 5,200.64 and 1,687.42 is: 2,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.09 : 5,200.64 = 1,687.42 : x
  2. Step 2: Convert to fraction form
    3,467.09/5,200.64 = 1,687.42/x
  3. Step 3: Cross multiply
    3,467.09x = 5,200.64 × 1,687.42
  4. Step 4: Simplify right side
    3,467.09x = 8,775,663.95
  5. Step 5: Solve for x
    x = 8,775,663.95/3,467.09
  6. Step 6: Final answer
    x = 2,531.13

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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.