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Finding the Fourth Proportional to 4,076.06, 6,114.10 and 998.06

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Solution

The fourth proportional to 4,076.06, 6,114.10 and 998.06 is: 1,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.06 : 6,114.10 = 998.06 : x
  2. Step 2: Convert to fraction form
    4,076.06/6,114.10 = 998.06/x
  3. Step 3: Cross multiply
    4,076.06x = 6,114.10 × 998.06
  4. Step 4: Simplify right side
    4,076.06x = 6,102,251.44
  5. Step 5: Solve for x
    x = 6,102,251.44/4,076.06
  6. Step 6: Final answer
    x = 1,497.09

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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.