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Finding the Fourth Proportional to 6,044.69, 8,343.74 and 3,656.00

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Solution

The fourth proportional to 6,044.69, 8,343.74 and 3,656.00 is: 5,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.69 : 8,343.74 = 3,656.00 : x
  2. Step 2: Convert to fraction form
    6,044.69/8,343.74 = 3,656.00/x
  3. Step 3: Cross multiply
    6,044.69x = 8,343.74 × 3,656.00
  4. Step 4: Simplify right side
    6,044.69x = 30,504,743.44
  5. Step 5: Solve for x
    x = 30,504,743.44/6,044.69
  6. Step 6: Final answer
    x = 5,046.53

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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.