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Finding the Fourth Proportional to 5,896.16, 8,844.96 and 2,816

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Solution

The fourth proportional to 5,896.16, 8,844.96 and 2,816 is: 4,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.16 : 8,844.96 = 2,816 : x
  2. Step 2: Convert to fraction form
    5,896.16/8,844.96 = 2,816/x
  3. Step 3: Cross multiply
    5,896.16x = 8,844.96 × 2,816
  4. Step 4: Simplify right side
    5,896.16x = 24,907,407.36
  5. Step 5: Solve for x
    x = 24,907,407.36/5,896.16
  6. Step 6: Final answer
    x = 4,224.34

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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.