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Finding the Fourth Proportional to 3,422.59, 5,134.40 and 1,448.21

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Solution

The fourth proportional to 3,422.59, 5,134.40 and 1,448.21 is: 2,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.59 : 5,134.40 = 1,448.21 : x
  2. Step 2: Convert to fraction form
    3,422.59/5,134.40 = 1,448.21/x
  3. Step 3: Cross multiply
    3,422.59x = 5,134.40 × 1,448.21
  4. Step 4: Simplify right side
    3,422.59x = 7,435,700.45
  5. Step 5: Solve for x
    x = 7,435,700.45/3,422.59
  6. Step 6: Final answer
    x = 2,172.54

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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.