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Finding the Fourth Proportional to 3,853.59, 5,317.92 and 2,085.22

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Solution

The fourth proportional to 3,853.59, 5,317.92 and 2,085.22 is: 2,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.59 : 5,317.92 = 2,085.22 : x
  2. Step 2: Convert to fraction form
    3,853.59/5,317.92 = 2,085.22/x
  3. Step 3: Cross multiply
    3,853.59x = 5,317.92 × 2,085.22
  4. Step 4: Simplify right side
    3,853.59x = 11,089,033.14
  5. Step 5: Solve for x
    x = 11,089,033.14/3,853.59
  6. Step 6: Final answer
    x = 2,877.59

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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.