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Finding the Fourth Proportional to 4,969.44, 6,856.92 and 2,979.54

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Solution

The fourth proportional to 4,969.44, 6,856.92 and 2,979.54 is: 4,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.44 : 6,856.92 = 2,979.54 : x
  2. Step 2: Convert to fraction form
    4,969.44/6,856.92 = 2,979.54/x
  3. Step 3: Cross multiply
    4,969.44x = 6,856.92 × 2,979.54
  4. Step 4: Simplify right side
    4,969.44x = 20,430,467.42
  5. Step 5: Solve for x
    x = 20,430,467.42/4,969.44
  6. Step 6: Final answer
    x = 4,111.22

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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.