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Finding the Fourth Proportional to 5,679.94, 7,839.80 and 4,001.84

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Solution

The fourth proportional to 5,679.94, 7,839.80 and 4,001.84 is: 5,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.94 : 7,839.80 = 4,001.84 : x
  2. Step 2: Convert to fraction form
    5,679.94/7,839.80 = 4,001.84/x
  3. Step 3: Cross multiply
    5,679.94x = 7,839.80 × 4,001.84
  4. Step 4: Simplify right side
    5,679.94x = 31,373,625.23
  5. Step 5: Solve for x
    x = 31,373,625.23/5,679.94
  6. Step 6: Final answer
    x = 5,523.58

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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.