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Finding the Fourth Proportional to 4,076.36, 6,114.56 and 998.36

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Solution

The fourth proportional to 4,076.36, 6,114.56 and 998.36 is: 1,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.36 : 6,114.56 = 998.36 : x
  2. Step 2: Convert to fraction form
    4,076.36/6,114.56 = 998.36/x
  3. Step 3: Cross multiply
    4,076.36x = 6,114.56 × 998.36
  4. Step 4: Simplify right side
    4,076.36x = 6,104,532.12
  5. Step 5: Solve for x
    x = 6,104,532.12/4,076.36
  6. Step 6: Final answer
    x = 1,497.54

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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.