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Finding the Fourth Proportional to 3,830.22, 5,745.36 and 2,097.90

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Solution

The fourth proportional to 3,830.22, 5,745.36 and 2,097.90 is: 3,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.22 : 5,745.36 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    3,830.22/5,745.36 = 2,097.90/x
  3. Step 3: Cross multiply
    3,830.22x = 5,745.36 × 2,097.90
  4. Step 4: Simplify right side
    3,830.22x = 12,053,151.53
  5. Step 5: Solve for x
    x = 12,053,151.53/3,830.22
  6. Step 6: Final answer
    x = 3,146.86

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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.