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Finding the Fourth Proportional to 3,698.85, 5,104.47 and 2,207.63

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Solution

The fourth proportional to 3,698.85, 5,104.47 and 2,207.63 is: 3,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.85 : 5,104.47 = 2,207.63 : x
  2. Step 2: Convert to fraction form
    3,698.85/5,104.47 = 2,207.63/x
  3. Step 3: Cross multiply
    3,698.85x = 5,104.47 × 2,207.63
  4. Step 4: Simplify right side
    3,698.85x = 11,268,770.07
  5. Step 5: Solve for x
    x = 11,268,770.07/3,698.85
  6. Step 6: Final answer
    x = 3,046.56

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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.