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Finding the Fourth Proportional to 4,961.82, 6,847.44 and 2,837.64

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Solution

The fourth proportional to 4,961.82, 6,847.44 and 2,837.64 is: 3,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.82 : 6,847.44 = 2,837.64 : x
  2. Step 2: Convert to fraction form
    4,961.82/6,847.44 = 2,837.64/x
  3. Step 3: Cross multiply
    4,961.82x = 6,847.44 × 2,837.64
  4. Step 4: Simplify right side
    4,961.82x = 19,430,569.64
  5. Step 5: Solve for x
    x = 19,430,569.64/4,961.82
  6. Step 6: Final answer
    x = 3,916.02

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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.