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Finding the Fourth Proportional to 5,196.84, 7,796.43 and 1,734

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Solution

The fourth proportional to 5,196.84, 7,796.43 and 1,734 is: 2,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.84 : 7,796.43 = 1,734 : x
  2. Step 2: Convert to fraction form
    5,196.84/7,796.43 = 1,734/x
  3. Step 3: Cross multiply
    5,196.84x = 7,796.43 × 1,734
  4. Step 4: Simplify right side
    5,196.84x = 13,519,009.62
  5. Step 5: Solve for x
    x = 13,519,009.62/5,196.84
  6. Step 6: Final answer
    x = 2,601.39

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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.