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Finding the Fourth Proportional to 3,693.49, 5,536.63 and 2,046.59

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Solution

The fourth proportional to 3,693.49, 5,536.63 and 2,046.59 is: 3,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.49 : 5,536.63 = 2,046.59 : x
  2. Step 2: Convert to fraction form
    3,693.49/5,536.63 = 2,046.59/x
  3. Step 3: Cross multiply
    3,693.49x = 5,536.63 × 2,046.59
  4. Step 4: Simplify right side
    3,693.49x = 11,331,211.59
  5. Step 5: Solve for x
    x = 11,331,211.59/3,693.49
  6. Step 6: Final answer
    x = 3,067.89

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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.