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Finding the Fourth Proportional to 4,053.80, 6,085.31 and 3,786.23

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Solution

The fourth proportional to 4,053.80, 6,085.31 and 3,786.23 is: 5,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.80 : 6,085.31 = 3,786.23 : x
  2. Step 2: Convert to fraction form
    4,053.80/6,085.31 = 3,786.23/x
  3. Step 3: Cross multiply
    4,053.80x = 6,085.31 × 3,786.23
  4. Step 4: Simplify right side
    4,053.80x = 23,040,333.92
  5. Step 5: Solve for x
    x = 23,040,333.92/4,053.80
  6. Step 6: Final answer
    x = 5,683.65

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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.