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Finding the Fourth Proportional to 4,199.33, 6,294.74 and 2,011.11

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Solution

The fourth proportional to 4,199.33, 6,294.74 and 2,011.11 is: 3,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.33 : 6,294.74 = 2,011.11 : x
  2. Step 2: Convert to fraction form
    4,199.33/6,294.74 = 2,011.11/x
  3. Step 3: Cross multiply
    4,199.33x = 6,294.74 × 2,011.11
  4. Step 4: Simplify right side
    4,199.33x = 12,659,404.51
  5. Step 5: Solve for x
    x = 12,659,404.51/4,199.33
  6. Step 6: Final answer
    x = 3,014.63

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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.