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Finding the Fourth Proportional to 3,699.53, 5,105.22 and 2,206.68

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Solution

The fourth proportional to 3,699.53, 5,105.22 and 2,206.68 is: 3,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.53 : 5,105.22 = 2,206.68 : x
  2. Step 2: Convert to fraction form
    3,699.53/5,105.22 = 2,206.68/x
  3. Step 3: Cross multiply
    3,699.53x = 5,105.22 × 2,206.68
  4. Step 4: Simplify right side
    3,699.53x = 11,265,586.87
  5. Step 5: Solve for x
    x = 11,265,586.87/3,699.53
  6. Step 6: Final answer
    x = 3,045.14

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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.