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Finding the Fourth Proportional to 4,947.82, 6,828.08 and 2,709.66

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Solution

The fourth proportional to 4,947.82, 6,828.08 and 2,709.66 is: 3,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.82 : 6,828.08 = 2,709.66 : x
  2. Step 2: Convert to fraction form
    4,947.82/6,828.08 = 2,709.66/x
  3. Step 3: Cross multiply
    4,947.82x = 6,828.08 × 2,709.66
  4. Step 4: Simplify right side
    4,947.82x = 18,501,775.25
  5. Step 5: Solve for x
    x = 18,501,775.25/4,947.82
  6. Step 6: Final answer
    x = 3,739.38

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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.