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Finding the Fourth Proportional to 4,989, 6,884.82 and 2,893.26

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Solution

The fourth proportional to 4,989, 6,884.82 and 2,893.26 is: 3,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989 : 6,884.82 = 2,893.26 : x
  2. Step 2: Convert to fraction form
    4,989/6,884.82 = 2,893.26/x
  3. Step 3: Cross multiply
    4,989x = 6,884.82 × 2,893.26
  4. Step 4: Simplify right side
    4,989x = 19,919,574.31
  5. Step 5: Solve for x
    x = 19,919,574.31/4,989
  6. Step 6: Final answer
    x = 3,992.70

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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.