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Finding the Fourth Proportional to 5,672.04, 7,825.73 and 4,489.44

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Solution

The fourth proportional to 5,672.04, 7,825.73 and 4,489.44 is: 6,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.04 : 7,825.73 = 4,489.44 : x
  2. Step 2: Convert to fraction form
    5,672.04/7,825.73 = 4,489.44/x
  3. Step 3: Cross multiply
    5,672.04x = 7,825.73 × 4,489.44
  4. Step 4: Simplify right side
    5,672.04x = 35,133,122.84
  5. Step 5: Solve for x
    x = 35,133,122.84/5,672.04
  6. Step 6: Final answer
    x = 6,194.09

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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.