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Finding the Fourth Proportional to 6,193.44, 8,544.17 and 3,675.65

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Solution

The fourth proportional to 6,193.44, 8,544.17 and 3,675.65 is: 5,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.44 : 8,544.17 = 3,675.65 : x
  2. Step 2: Convert to fraction form
    6,193.44/8,544.17 = 3,675.65/x
  3. Step 3: Cross multiply
    6,193.44x = 8,544.17 × 3,675.65
  4. Step 4: Simplify right side
    6,193.44x = 31,405,317.36
  5. Step 5: Solve for x
    x = 31,405,317.36/6,193.44
  6. Step 6: Final answer
    x = 5,070.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.