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Finding the Fourth Proportional to 4,843.16, 6,684.12 and 2,747.68

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Solution

The fourth proportional to 4,843.16, 6,684.12 and 2,747.68 is: 3,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.16 : 6,684.12 = 2,747.68 : x
  2. Step 2: Convert to fraction form
    4,843.16/6,684.12 = 2,747.68/x
  3. Step 3: Cross multiply
    4,843.16x = 6,684.12 × 2,747.68
  4. Step 4: Simplify right side
    4,843.16x = 18,365,822.84
  5. Step 5: Solve for x
    x = 18,365,822.84/4,843.16
  6. Step 6: Final answer
    x = 3,792.12

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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.