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Finding the Fourth Proportional to 5,067.68, 7,602.32 and 2,146

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Solution

The fourth proportional to 5,067.68, 7,602.32 and 2,146 is: 3,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.68 : 7,602.32 = 2,146 : x
  2. Step 2: Convert to fraction form
    5,067.68/7,602.32 = 2,146/x
  3. Step 3: Cross multiply
    5,067.68x = 7,602.32 × 2,146
  4. Step 4: Simplify right side
    5,067.68x = 16,314,578.72
  5. Step 5: Solve for x
    x = 16,314,578.72/5,067.68
  6. Step 6: Final answer
    x = 3,219.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.