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Finding the Fourth Proportional to 4,997.82, 7,494.57 and 1,534.26

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Solution

The fourth proportional to 4,997.82, 7,494.57 and 1,534.26 is: 2,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.82 : 7,494.57 = 1,534.26 : x
  2. Step 2: Convert to fraction form
    4,997.82/7,494.57 = 1,534.26/x
  3. Step 3: Cross multiply
    4,997.82x = 7,494.57 × 1,534.26
  4. Step 4: Simplify right side
    4,997.82x = 11,498,618.97
  5. Step 5: Solve for x
    x = 11,498,618.97/4,997.82
  6. Step 6: Final answer
    x = 2,300.73

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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.