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Finding the Fourth Proportional to 4,997.34, 7,495.97 and 3,902.58

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Solution

The fourth proportional to 4,997.34, 7,495.97 and 3,902.58 is: 5,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.34 : 7,495.97 = 3,902.58 : x
  2. Step 2: Convert to fraction form
    4,997.34/7,495.97 = 3,902.58/x
  3. Step 3: Cross multiply
    4,997.34x = 7,495.97 × 3,902.58
  4. Step 4: Simplify right side
    4,997.34x = 29,253,603.09
  5. Step 5: Solve for x
    x = 29,253,603.09/4,997.34
  6. Step 6: Final answer
    x = 5,853.83

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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.