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Finding the Fourth Proportional to 4,012.98, 6,017.15 and 1,238.90

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Solution

The fourth proportional to 4,012.98, 6,017.15 and 1,238.90 is: 1,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.98 : 6,017.15 = 1,238.90 : x
  2. Step 2: Convert to fraction form
    4,012.98/6,017.15 = 1,238.90/x
  3. Step 3: Cross multiply
    4,012.98x = 6,017.15 × 1,238.90
  4. Step 4: Simplify right side
    4,012.98x = 7,454,610.85
  5. Step 5: Solve for x
    x = 7,454,610.85/4,012.98
  6. Step 6: Final answer
    x = 1,857.62

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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.