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Finding the Fourth Proportional to 5,976.84, 8,245.77 and 3,707.12

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Solution

The fourth proportional to 5,976.84, 8,245.77 and 3,707.12 is: 5,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.84 : 8,245.77 = 3,707.12 : x
  2. Step 2: Convert to fraction form
    5,976.84/8,245.77 = 3,707.12/x
  3. Step 3: Cross multiply
    5,976.84x = 8,245.77 × 3,707.12
  4. Step 4: Simplify right side
    5,976.84x = 30,568,017.65
  5. Step 5: Solve for x
    x = 30,568,017.65/5,976.84
  6. Step 6: Final answer
    x = 5,114.41

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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.