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Finding the Fourth Proportional to 3,853.66, 5,318.07 and 2,085.27

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Solution

The fourth proportional to 3,853.66, 5,318.07 and 2,085.27 is: 2,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.66 : 5,318.07 = 2,085.27 : x
  2. Step 2: Convert to fraction form
    3,853.66/5,318.07 = 2,085.27/x
  3. Step 3: Cross multiply
    3,853.66x = 5,318.07 × 2,085.27
  4. Step 4: Simplify right side
    3,853.66x = 11,089,589.27
  5. Step 5: Solve for x
    x = 11,089,589.27/3,853.66
  6. Step 6: Final answer
    x = 2,877.68

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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.