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Finding the Fourth Proportional to 4,785.21, 7,172.64 and 1,822.26

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Solution

The fourth proportional to 4,785.21, 7,172.64 and 1,822.26 is: 2,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.21 : 7,172.64 = 1,822.26 : x
  2. Step 2: Convert to fraction form
    4,785.21/7,172.64 = 1,822.26/x
  3. Step 3: Cross multiply
    4,785.21x = 7,172.64 × 1,822.26
  4. Step 4: Simplify right side
    4,785.21x = 13,070,414.97
  5. Step 5: Solve for x
    x = 13,070,414.97/4,785.21
  6. Step 6: Final answer
    x = 2,731.42

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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.