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Finding the Fourth Proportional to 5,196.96, 7,806.96 and 4,044.96

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Solution

The fourth proportional to 5,196.96, 7,806.96 and 4,044.96 is: 6,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.96 : 7,806.96 = 4,044.96 : x
  2. Step 2: Convert to fraction form
    5,196.96/7,806.96 = 4,044.96/x
  3. Step 3: Cross multiply
    5,196.96x = 7,806.96 × 4,044.96
  4. Step 4: Simplify right side
    5,196.96x = 31,578,840.92
  5. Step 5: Solve for x
    x = 31,578,840.92/5,196.96
  6. Step 6: Final answer
    x = 6,076.41

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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.