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Finding the Fourth Proportional to 4,856.63, 6,703.36 and 2,761.97

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Solution

The fourth proportional to 4,856.63, 6,703.36 and 2,761.97 is: 3,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.63 : 6,703.36 = 2,761.97 : x
  2. Step 2: Convert to fraction form
    4,856.63/6,703.36 = 2,761.97/x
  3. Step 3: Cross multiply
    4,856.63x = 6,703.36 × 2,761.97
  4. Step 4: Simplify right side
    4,856.63x = 18,514,438.80
  5. Step 5: Solve for x
    x = 18,514,438.80/4,856.63
  6. Step 6: Final answer
    x = 3,812.20

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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.