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Finding the Fourth Proportional to 3,718.22, 5,576.42 and 1,745.21

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Solution

The fourth proportional to 3,718.22, 5,576.42 and 1,745.21 is: 2,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.22 : 5,576.42 = 1,745.21 : x
  2. Step 2: Convert to fraction form
    3,718.22/5,576.42 = 1,745.21/x
  3. Step 3: Cross multiply
    3,718.22x = 5,576.42 × 1,745.21
  4. Step 4: Simplify right side
    3,718.22x = 9,732,015.22
  5. Step 5: Solve for x
    x = 9,732,015.22/3,718.22
  6. Step 6: Final answer
    x = 2,617.39

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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.