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Finding the Fourth Proportional to 4,093.89, 6,141.86 and 1,172.22

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Solution

The fourth proportional to 4,093.89, 6,141.86 and 1,172.22 is: 1,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.89 : 6,141.86 = 1,172.22 : x
  2. Step 2: Convert to fraction form
    4,093.89/6,141.86 = 1,172.22/x
  3. Step 3: Cross multiply
    4,093.89x = 6,141.86 × 1,172.22
  4. Step 4: Simplify right side
    4,093.89x = 7,199,605.27
  5. Step 5: Solve for x
    x = 7,199,605.27/4,093.89
  6. Step 6: Final answer
    x = 1,758.62

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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.