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Finding the Fourth Proportional to 4,968.38, 6,856.51 and 2,730.32

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Solution

The fourth proportional to 4,968.38, 6,856.51 and 2,730.32 is: 3,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.38 : 6,856.51 = 2,730.32 : x
  2. Step 2: Convert to fraction form
    4,968.38/6,856.51 = 2,730.32/x
  3. Step 3: Cross multiply
    4,968.38x = 6,856.51 × 2,730.32
  4. Step 4: Simplify right side
    4,968.38x = 18,720,466.38
  5. Step 5: Solve for x
    x = 18,720,466.38/4,968.38
  6. Step 6: Final answer
    x = 3,767.92

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Why These Related Problems?

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