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Finding the Fourth Proportional to 5,846.21, 8,768.37 and 2,147.53

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Solution

The fourth proportional to 5,846.21, 8,768.37 and 2,147.53 is: 3,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.21 : 8,768.37 = 2,147.53 : x
  2. Step 2: Convert to fraction form
    5,846.21/8,768.37 = 2,147.53/x
  3. Step 3: Cross multiply
    5,846.21x = 8,768.37 × 2,147.53
  4. Step 4: Simplify right side
    5,846.21x = 18,830,293.78
  5. Step 5: Solve for x
    x = 18,830,293.78/5,846.21
  6. Step 6: Final answer
    x = 3,220.94

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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.