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Finding the Fourth Proportional to 5,309.56, 7,327.14 and 2,951.64

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Solution

The fourth proportional to 5,309.56, 7,327.14 and 2,951.64 is: 4,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.56 : 7,327.14 = 2,951.64 : x
  2. Step 2: Convert to fraction form
    5,309.56/7,327.14 = 2,951.64/x
  3. Step 3: Cross multiply
    5,309.56x = 7,327.14 × 2,951.64
  4. Step 4: Simplify right side
    5,309.56x = 21,627,079.51
  5. Step 5: Solve for x
    x = 21,627,079.51/5,309.56
  6. Step 6: Final answer
    x = 4,073.23

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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.