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Finding the Fourth Proportional to 4,249.76, 6,374.57 and 1,328.22

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Solution

The fourth proportional to 4,249.76, 6,374.57 and 1,328.22 is: 1,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.76 : 6,374.57 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    4,249.76/6,374.57 = 1,328.22/x
  3. Step 3: Cross multiply
    4,249.76x = 6,374.57 × 1,328.22
  4. Step 4: Simplify right side
    4,249.76x = 8,466,824.72
  5. Step 5: Solve for x
    x = 8,466,824.72/4,249.76
  6. Step 6: Final answer
    x = 1,992.31

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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.