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Finding the Fourth Proportional to 4,947.94, 6,828.10 and 2,709.82

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Solution

The fourth proportional to 4,947.94, 6,828.10 and 2,709.82 is: 3,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.94 : 6,828.10 = 2,709.82 : x
  2. Step 2: Convert to fraction form
    4,947.94/6,828.10 = 2,709.82/x
  3. Step 3: Cross multiply
    4,947.94x = 6,828.10 × 2,709.82
  4. Step 4: Simplify right side
    4,947.94x = 18,502,921.94
  5. Step 5: Solve for x
    x = 18,502,921.94/4,947.94
  6. Step 6: Final answer
    x = 3,739.52

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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.