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Finding the Fourth Proportional to 5,941.31, 8,199.02 and 3,583.67

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Solution

The fourth proportional to 5,941.31, 8,199.02 and 3,583.67 is: 4,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.31 : 8,199.02 = 3,583.67 : x
  2. Step 2: Convert to fraction form
    5,941.31/8,199.02 = 3,583.67/x
  3. Step 3: Cross multiply
    5,941.31x = 8,199.02 × 3,583.67
  4. Step 4: Simplify right side
    5,941.31x = 29,382,584.58
  5. Step 5: Solve for x
    x = 29,382,584.58/5,941.31
  6. Step 6: Final answer
    x = 4,945.47

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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.