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Finding the Fourth Proportional to 6,490.82, 8,961.30 and 4,224.32

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Solution

The fourth proportional to 6,490.82, 8,961.30 and 4,224.32 is: 5,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.82 : 8,961.30 = 4,224.32 : x
  2. Step 2: Convert to fraction form
    6,490.82/8,961.30 = 4,224.32/x
  3. Step 3: Cross multiply
    6,490.82x = 8,961.30 × 4,224.32
  4. Step 4: Simplify right side
    6,490.82x = 37,855,398.82
  5. Step 5: Solve for x
    x = 37,855,398.82/6,490.82
  6. Step 6: Final answer
    x = 5,832.14

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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.