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Finding the Fourth Proportional to 4,997.16, 6,896.16 and 2,901.24

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Solution

The fourth proportional to 4,997.16, 6,896.16 and 2,901.24 is: 4,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.16 : 6,896.16 = 2,901.24 : x
  2. Step 2: Convert to fraction form
    4,997.16/6,896.16 = 2,901.24/x
  3. Step 3: Cross multiply
    4,997.16x = 6,896.16 × 2,901.24
  4. Step 4: Simplify right side
    4,997.16x = 20,007,415.24
  5. Step 5: Solve for x
    x = 20,007,415.24/4,997.16
  6. Step 6: Final answer
    x = 4,003.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.