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Finding the Fourth Proportional to 5,196.56, 7,796.66 and 2,274.48

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Solution

The fourth proportional to 5,196.56, 7,796.66 and 2,274.48 is: 3,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.56 : 7,796.66 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    5,196.56/7,796.66 = 2,274.48/x
  3. Step 3: Cross multiply
    5,196.56x = 7,796.66 × 2,274.48
  4. Step 4: Simplify right side
    5,196.56x = 17,733,335.86
  5. Step 5: Solve for x
    x = 17,733,335.86/5,196.56
  6. Step 6: Final answer
    x = 3,412.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.