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Finding the Fourth Proportional to 4,997.60, 7,494.24 and 3,844.16

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Solution

The fourth proportional to 4,997.60, 7,494.24 and 3,844.16 is: 5,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.60 : 7,494.24 = 3,844.16 : x
  2. Step 2: Convert to fraction form
    4,997.60/7,494.24 = 3,844.16/x
  3. Step 3: Cross multiply
    4,997.60x = 7,494.24 × 3,844.16
  4. Step 4: Simplify right side
    4,997.60x = 28,809,057.64
  5. Step 5: Solve for x
    x = 28,809,057.64/4,997.60
  6. Step 6: Final answer
    x = 5,764.58

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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.