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Finding the Fourth Proportional to 3,422.21, 5,129.64 and 1,230.30

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Solution

The fourth proportional to 3,422.21, 5,129.64 and 1,230.30 is: 1,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.21 : 5,129.64 = 1,230.30 : x
  2. Step 2: Convert to fraction form
    3,422.21/5,129.64 = 1,230.30/x
  3. Step 3: Cross multiply
    3,422.21x = 5,129.64 × 1,230.30
  4. Step 4: Simplify right side
    3,422.21x = 6,310,996.09
  5. Step 5: Solve for x
    x = 6,310,996.09/3,422.21
  6. Step 6: Final answer
    x = 1,844.13

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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.