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Finding the Fourth Proportional to 6,094.12, 8,411.10 and 3,998.20

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Solution

The fourth proportional to 6,094.12, 8,411.10 and 3,998.20 is: 5,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.12 : 8,411.10 = 3,998.20 : x
  2. Step 2: Convert to fraction form
    6,094.12/8,411.10 = 3,998.20/x
  3. Step 3: Cross multiply
    6,094.12x = 8,411.10 × 3,998.20
  4. Step 4: Simplify right side
    6,094.12x = 33,629,260.02
  5. Step 5: Solve for x
    x = 33,629,260.02/6,094.12
  6. Step 6: Final answer
    x = 5,518.31

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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.