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Finding the Fourth Proportional to 3,679.96, 5,074.86 and 2,839.36

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Solution

The fourth proportional to 3,679.96, 5,074.86 and 2,839.36 is: 3,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.96 : 5,074.86 = 2,839.36 : x
  2. Step 2: Convert to fraction form
    3,679.96/5,074.86 = 2,839.36/x
  3. Step 3: Cross multiply
    3,679.96x = 5,074.86 × 2,839.36
  4. Step 4: Simplify right side
    3,679.96x = 14,409,354.49
  5. Step 5: Solve for x
    x = 14,409,354.49/3,679.96
  6. Step 6: Final answer
    x = 3,915.63

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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.