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Finding the Fourth Proportional to 3,471.64, 5,194.66 and 2,085.82

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Solution

The fourth proportional to 3,471.64, 5,194.66 and 2,085.82 is: 3,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.64 : 5,194.66 = 2,085.82 : x
  2. Step 2: Convert to fraction form
    3,471.64/5,194.66 = 2,085.82/x
  3. Step 3: Cross multiply
    3,471.64x = 5,194.66 × 2,085.82
  4. Step 4: Simplify right side
    3,471.64x = 10,835,125.72
  5. Step 5: Solve for x
    x = 10,835,125.72/3,471.64
  6. Step 6: Final answer
    x = 3,121.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.