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Finding the Fourth Proportional to 3,699.34, 5,105.07 and 2,207.32

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Solution

The fourth proportional to 3,699.34, 5,105.07 and 2,207.32 is: 3,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.34 : 5,105.07 = 2,207.32 : x
  2. Step 2: Convert to fraction form
    3,699.34/5,105.07 = 2,207.32/x
  3. Step 3: Cross multiply
    3,699.34x = 5,105.07 × 2,207.32
  4. Step 4: Simplify right side
    3,699.34x = 11,268,523.11
  5. Step 5: Solve for x
    x = 11,268,523.11/3,699.34
  6. Step 6: Final answer
    x = 3,046.09

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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.