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Finding the Fourth Proportional to 3,638.16, 5,455.10 and 1,994.26

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Solution

The fourth proportional to 3,638.16, 5,455.10 and 1,994.26 is: 2,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.16 : 5,455.10 = 1,994.26 : x
  2. Step 2: Convert to fraction form
    3,638.16/5,455.10 = 1,994.26/x
  3. Step 3: Cross multiply
    3,638.16x = 5,455.10 × 1,994.26
  4. Step 4: Simplify right side
    3,638.16x = 10,878,887.73
  5. Step 5: Solve for x
    x = 10,878,887.73/3,638.16
  6. Step 6: Final answer
    x = 2,990.22

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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.