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Finding the Fourth Proportional to 3,687.70, 5,090.67 and 2,196.14

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Solution

The fourth proportional to 3,687.70, 5,090.67 and 2,196.14 is: 3,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.70 : 5,090.67 = 2,196.14 : x
  2. Step 2: Convert to fraction form
    3,687.70/5,090.67 = 2,196.14/x
  3. Step 3: Cross multiply
    3,687.70x = 5,090.67 × 2,196.14
  4. Step 4: Simplify right side
    3,687.70x = 11,179,824.01
  5. Step 5: Solve for x
    x = 11,179,824.01/3,687.70
  6. Step 6: Final answer
    x = 3,031.65

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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.