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Finding the Fourth Proportional to 4,968.54, 6,856.71 and 2,730.47

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Solution

The fourth proportional to 4,968.54, 6,856.71 and 2,730.47 is: 3,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.54 : 6,856.71 = 2,730.47 : x
  2. Step 2: Convert to fraction form
    4,968.54/6,856.71 = 2,730.47/x
  3. Step 3: Cross multiply
    4,968.54x = 6,856.71 × 2,730.47
  4. Step 4: Simplify right side
    4,968.54x = 18,722,022.14
  5. Step 5: Solve for x
    x = 18,722,022.14/4,968.54
  6. Step 6: Final answer
    x = 3,768.12

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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.