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Finding the Fourth Proportional to 6,016.34, 8,297.14 and 3,778.42

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Solution

The fourth proportional to 6,016.34, 8,297.14 and 3,778.42 is: 5,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.34 : 8,297.14 = 3,778.42 : x
  2. Step 2: Convert to fraction form
    6,016.34/8,297.14 = 3,778.42/x
  3. Step 3: Cross multiply
    6,016.34x = 8,297.14 × 3,778.42
  4. Step 4: Simplify right side
    6,016.34x = 31,350,079.72
  5. Step 5: Solve for x
    x = 31,350,079.72/6,016.34
  6. Step 6: Final answer
    x = 5,210.82

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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.