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Finding the Fourth Proportional to 4,076.75, 6,115.14 and 998.75

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Solution

The fourth proportional to 4,076.75, 6,115.14 and 998.75 is: 1,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.75 : 6,115.14 = 998.75 : x
  2. Step 2: Convert to fraction form
    4,076.75/6,115.14 = 998.75/x
  3. Step 3: Cross multiply
    4,076.75x = 6,115.14 × 998.75
  4. Step 4: Simplify right side
    4,076.75x = 6,107,496.08
  5. Step 5: Solve for x
    x = 6,107,496.08/4,076.75
  6. Step 6: Final answer
    x = 1,498.13

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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.