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Finding the Fourth Proportional to 4,249.36, 6,375.12 and 1,328

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Solution

The fourth proportional to 4,249.36, 6,375.12 and 1,328 is: 1,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.36 : 6,375.12 = 1,328 : x
  2. Step 2: Convert to fraction form
    4,249.36/6,375.12 = 1,328/x
  3. Step 3: Cross multiply
    4,249.36x = 6,375.12 × 1,328
  4. Step 4: Simplify right side
    4,249.36x = 8,466,159.36
  5. Step 5: Solve for x
    x = 8,466,159.36/4,249.36
  6. Step 6: Final answer
    x = 1,992.34

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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.