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Finding the Fourth Proportional to 4,839.64, 6,680.74 and 3,269.86

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Solution

The fourth proportional to 4,839.64, 6,680.74 and 3,269.86 is: 4,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.64 : 6,680.74 = 3,269.86 : x
  2. Step 2: Convert to fraction form
    4,839.64/6,680.74 = 3,269.86/x
  3. Step 3: Cross multiply
    4,839.64x = 6,680.74 × 3,269.86
  4. Step 4: Simplify right side
    4,839.64x = 21,845,051.09
  5. Step 5: Solve for x
    x = 21,845,051.09/4,839.64
  6. Step 6: Final answer
    x = 4,513.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.