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Finding the Fourth Proportional to 5,464.73, 7,541.63 and 4,136.09

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Solution

The fourth proportional to 5,464.73, 7,541.63 and 4,136.09 is: 5,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.73 : 7,541.63 = 4,136.09 : x
  2. Step 2: Convert to fraction form
    5,464.73/7,541.63 = 4,136.09/x
  3. Step 3: Cross multiply
    5,464.73x = 7,541.63 × 4,136.09
  4. Step 4: Simplify right side
    5,464.73x = 31,192,860.43
  5. Step 5: Solve for x
    x = 31,192,860.43/5,464.73
  6. Step 6: Final answer
    x = 5,708.03

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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.