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Finding the Fourth Proportional to 3,648.14, 5,471.90 and 2,186.22

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Solution

The fourth proportional to 3,648.14, 5,471.90 and 2,186.22 is: 3,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.14 : 5,471.90 = 2,186.22 : x
  2. Step 2: Convert to fraction form
    3,648.14/5,471.90 = 2,186.22/x
  3. Step 3: Cross multiply
    3,648.14x = 5,471.90 × 2,186.22
  4. Step 4: Simplify right side
    3,648.14x = 11,962,777.22
  5. Step 5: Solve for x
    x = 11,962,777.22/3,648.14
  6. Step 6: Final answer
    x = 3,279.14

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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.