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Finding the Fourth Proportional to 3,422.55, 5,128.43 and 1,474.23

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Solution

The fourth proportional to 3,422.55, 5,128.43 and 1,474.23 is: 2,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.55 : 5,128.43 = 1,474.23 : x
  2. Step 2: Convert to fraction form
    3,422.55/5,128.43 = 1,474.23/x
  3. Step 3: Cross multiply
    3,422.55x = 5,128.43 × 1,474.23
  4. Step 4: Simplify right side
    3,422.55x = 7,560,477.99
  5. Step 5: Solve for x
    x = 7,560,477.99/3,422.55
  6. Step 6: Final answer
    x = 2,209.02

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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.