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Finding the Fourth Proportional to 5,735.06, 8,599.74 and 1,838.96

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Solution

The fourth proportional to 5,735.06, 8,599.74 and 1,838.96 is: 2,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.06 : 8,599.74 = 1,838.96 : x
  2. Step 2: Convert to fraction form
    5,735.06/8,599.74 = 1,838.96/x
  3. Step 3: Cross multiply
    5,735.06x = 8,599.74 × 1,838.96
  4. Step 4: Simplify right side
    5,735.06x = 15,814,577.87
  5. Step 5: Solve for x
    x = 15,814,577.87/5,735.06
  6. Step 6: Final answer
    x = 2,757.53

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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.