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Finding the Fourth Proportional to 5,042.63, 6,952.56 and 3,978.29

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Solution

The fourth proportional to 5,042.63, 6,952.56 and 3,978.29 is: 5,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.63 : 6,952.56 = 3,978.29 : x
  2. Step 2: Convert to fraction form
    5,042.63/6,952.56 = 3,978.29/x
  3. Step 3: Cross multiply
    5,042.63x = 6,952.56 × 3,978.29
  4. Step 4: Simplify right side
    5,042.63x = 27,659,299.92
  5. Step 5: Solve for x
    x = 27,659,299.92/5,042.63
  6. Step 6: Final answer
    x = 5,485.09

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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.