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Finding the Fourth Proportional to 5,994.64, 8,991.96 and 2,098.14

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Solution

The fourth proportional to 5,994.64, 8,991.96 and 2,098.14 is: 3,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.64 : 8,991.96 = 2,098.14 : x
  2. Step 2: Convert to fraction form
    5,994.64/8,991.96 = 2,098.14/x
  3. Step 3: Cross multiply
    5,994.64x = 8,991.96 × 2,098.14
  4. Step 4: Simplify right side
    5,994.64x = 18,866,390.95
  5. Step 5: Solve for x
    x = 18,866,390.95/5,994.64
  6. Step 6: Final answer
    x = 3,147.21

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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.