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Finding the Fourth Proportional to 4,201.29, 6,294.94 and 2,865.11

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Solution

The fourth proportional to 4,201.29, 6,294.94 and 2,865.11 is: 4,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.29 : 6,294.94 = 2,865.11 : x
  2. Step 2: Convert to fraction form
    4,201.29/6,294.94 = 2,865.11/x
  3. Step 3: Cross multiply
    4,201.29x = 6,294.94 × 2,865.11
  4. Step 4: Simplify right side
    4,201.29x = 18,035,656.91
  5. Step 5: Solve for x
    x = 18,035,656.91/4,201.29
  6. Step 6: Final answer
    x = 4,292.89

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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.