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Finding the Fourth Proportional to 5,034.63, 6,947.68 and 2,796.38

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Solution

The fourth proportional to 5,034.63, 6,947.68 and 2,796.38 is: 3,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.63 : 6,947.68 = 2,796.38 : x
  2. Step 2: Convert to fraction form
    5,034.63/6,947.68 = 2,796.38/x
  3. Step 3: Cross multiply
    5,034.63x = 6,947.68 × 2,796.38
  4. Step 4: Simplify right side
    5,034.63x = 19,428,353.40
  5. Step 5: Solve for x
    x = 19,428,353.40/5,034.63
  6. Step 6: Final answer
    x = 3,858.94

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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.