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Finding the Fourth Proportional to 4,017.87, 6,016.43 and 2,772.30

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Solution

The fourth proportional to 4,017.87, 6,016.43 and 2,772.30 is: 4,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.87 : 6,016.43 = 2,772.30 : x
  2. Step 2: Convert to fraction form
    4,017.87/6,016.43 = 2,772.30/x
  3. Step 3: Cross multiply
    4,017.87x = 6,016.43 × 2,772.30
  4. Step 4: Simplify right side
    4,017.87x = 16,679,350.07
  5. Step 5: Solve for x
    x = 16,679,350.07/4,017.87
  6. Step 6: Final answer
    x = 4,151.29

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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.