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Finding the Fourth Proportional to 4,094.84, 6,131.22 and 2,142.92

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Solution

The fourth proportional to 4,094.84, 6,131.22 and 2,142.92 is: 3,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.84 : 6,131.22 = 2,142.92 : x
  2. Step 2: Convert to fraction form
    4,094.84/6,131.22 = 2,142.92/x
  3. Step 3: Cross multiply
    4,094.84x = 6,131.22 × 2,142.92
  4. Step 4: Simplify right side
    4,094.84x = 13,138,713.96
  5. Step 5: Solve for x
    x = 13,138,713.96/4,094.84
  6. Step 6: Final answer
    x = 3,208.60

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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.