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Finding the Fourth Proportional to 5,738.40, 8,611.92 and 3,885.12

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Solution

The fourth proportional to 5,738.40, 8,611.92 and 3,885.12 is: 5,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.40 : 8,611.92 = 3,885.12 : x
  2. Step 2: Convert to fraction form
    5,738.40/8,611.92 = 3,885.12/x
  3. Step 3: Cross multiply
    5,738.40x = 8,611.92 × 3,885.12
  4. Step 4: Simplify right side
    5,738.40x = 33,458,342.63
  5. Step 5: Solve for x
    x = 33,458,342.63/5,738.40
  6. Step 6: Final answer
    x = 5,830.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.