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Finding the Fourth Proportional to 5,239.17, 7,849.53 and 2,768.54

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Solution

The fourth proportional to 5,239.17, 7,849.53 and 2,768.54 is: 4,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.17 : 7,849.53 = 2,768.54 : x
  2. Step 2: Convert to fraction form
    5,239.17/7,849.53 = 2,768.54/x
  3. Step 3: Cross multiply
    5,239.17x = 7,849.53 × 2,768.54
  4. Step 4: Simplify right side
    5,239.17x = 21,731,698.54
  5. Step 5: Solve for x
    x = 21,731,698.54/5,239.17
  6. Step 6: Final answer
    x = 4,147.93

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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.