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Finding the Fourth Proportional to 5,196.68, 7,796.22 and 1,498.96

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Solution

The fourth proportional to 5,196.68, 7,796.22 and 1,498.96 is: 2,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.68 : 7,796.22 = 1,498.96 : x
  2. Step 2: Convert to fraction form
    5,196.68/7,796.22 = 1,498.96/x
  3. Step 3: Cross multiply
    5,196.68x = 7,796.22 × 1,498.96
  4. Step 4: Simplify right side
    5,196.68x = 11,686,221.93
  5. Step 5: Solve for x
    x = 11,686,221.93/5,196.68
  6. Step 6: Final answer
    x = 2,248.79

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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.