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Finding the Fourth Proportional to 4,207.86, 6,309.84 and 2,014.18

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Solution

The fourth proportional to 4,207.86, 6,309.84 and 2,014.18 is: 3,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.86 : 6,309.84 = 2,014.18 : x
  2. Step 2: Convert to fraction form
    4,207.86/6,309.84 = 2,014.18/x
  3. Step 3: Cross multiply
    4,207.86x = 6,309.84 × 2,014.18
  4. Step 4: Simplify right side
    4,207.86x = 12,709,153.53
  5. Step 5: Solve for x
    x = 12,709,153.53/4,207.86
  6. Step 6: Final answer
    x = 3,020.34

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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.