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Finding the Fourth Proportional to 4,846.17, 7,270.20 and 1,884.60

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Solution

The fourth proportional to 4,846.17, 7,270.20 and 1,884.60 is: 2,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.17 : 7,270.20 = 1,884.60 : x
  2. Step 2: Convert to fraction form
    4,846.17/7,270.20 = 1,884.60/x
  3. Step 3: Cross multiply
    4,846.17x = 7,270.20 × 1,884.60
  4. Step 4: Simplify right side
    4,846.17x = 13,701,418.92
  5. Step 5: Solve for x
    x = 13,701,418.92/4,846.17
  6. Step 6: Final answer
    x = 2,827.27

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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.