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Finding the Fourth Proportional to 5,839.26, 8,762.22 and 2,141

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Solution

The fourth proportional to 5,839.26, 8,762.22 and 2,141 is: 3,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.26 : 8,762.22 = 2,141 : x
  2. Step 2: Convert to fraction form
    5,839.26/8,762.22 = 2,141/x
  3. Step 3: Cross multiply
    5,839.26x = 8,762.22 × 2,141
  4. Step 4: Simplify right side
    5,839.26x = 18,759,913.02
  5. Step 5: Solve for x
    x = 18,759,913.02/5,839.26
  6. Step 6: Final answer
    x = 3,212.72

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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.