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Finding the Fourth Proportional to 4,297.94, 6,447.91 and 1,336.22

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Solution

The fourth proportional to 4,297.94, 6,447.91 and 1,336.22 is: 2,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.94 : 6,447.91 = 1,336.22 : x
  2. Step 2: Convert to fraction form
    4,297.94/6,447.91 = 1,336.22/x
  3. Step 3: Cross multiply
    4,297.94x = 6,447.91 × 1,336.22
  4. Step 4: Simplify right side
    4,297.94x = 8,615,839.08
  5. Step 5: Solve for x
    x = 8,615,839.08/4,297.94
  6. Step 6: Final answer
    x = 2,004.65

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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.