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Finding the Fourth Proportional to 4,092.28, 6,138.42 and 1,014.28

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Solution

The fourth proportional to 4,092.28, 6,138.42 and 1,014.28 is: 1,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.28 : 6,138.42 = 1,014.28 : x
  2. Step 2: Convert to fraction form
    4,092.28/6,138.42 = 1,014.28/x
  3. Step 3: Cross multiply
    4,092.28x = 6,138.42 × 1,014.28
  4. Step 4: Simplify right side
    4,092.28x = 6,226,076.64
  5. Step 5: Solve for x
    x = 6,226,076.64/4,092.28
  6. Step 6: Final answer
    x = 1,521.42

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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.