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Finding the Fourth Proportional to 3,853.44, 5,317.72 and 2,085

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Solution

The fourth proportional to 3,853.44, 5,317.72 and 2,085 is: 2,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.44 : 5,317.72 = 2,085 : x
  2. Step 2: Convert to fraction form
    3,853.44/5,317.72 = 2,085/x
  3. Step 3: Cross multiply
    3,853.44x = 5,317.72 × 2,085
  4. Step 4: Simplify right side
    3,853.44x = 11,087,446.20
  5. Step 5: Solve for x
    x = 11,087,446.20/3,853.44
  6. Step 6: Final answer
    x = 2,877.29

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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.