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Finding the Fourth Proportional to 5,309.94, 7,327.86 and 2,952.03

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Solution

The fourth proportional to 5,309.94, 7,327.86 and 2,952.03 is: 4,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.94 : 7,327.86 = 2,952.03 : x
  2. Step 2: Convert to fraction form
    5,309.94/7,327.86 = 2,952.03/x
  3. Step 3: Cross multiply
    5,309.94x = 7,327.86 × 2,952.03
  4. Step 4: Simplify right side
    5,309.94x = 21,632,062.56
  5. Step 5: Solve for x
    x = 21,632,062.56/5,309.94
  6. Step 6: Final answer
    x = 4,073.88

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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.