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Finding the Fourth Proportional to 4,208.66, 6,311.07 and 2,018.42

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Solution

The fourth proportional to 4,208.66, 6,311.07 and 2,018.42 is: 3,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.66 : 6,311.07 = 2,018.42 : x
  2. Step 2: Convert to fraction form
    4,208.66/6,311.07 = 2,018.42/x
  3. Step 3: Cross multiply
    4,208.66x = 6,311.07 × 2,018.42
  4. Step 4: Simplify right side
    4,208.66x = 12,738,389.91
  5. Step 5: Solve for x
    x = 12,738,389.91/4,208.66
  6. Step 6: Final answer
    x = 3,026.71

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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.