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Finding the Fourth Proportional to 3,745.44, 5,618.16 and 2,428.38

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Solution

The fourth proportional to 3,745.44, 5,618.16 and 2,428.38 is: 3,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.44 : 5,618.16 = 2,428.38 : x
  2. Step 2: Convert to fraction form
    3,745.44/5,618.16 = 2,428.38/x
  3. Step 3: Cross multiply
    3,745.44x = 5,618.16 × 2,428.38
  4. Step 4: Simplify right side
    3,745.44x = 13,643,027.38
  5. Step 5: Solve for x
    x = 13,643,027.38/3,745.44
  6. Step 6: Final answer
    x = 3,642.57

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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.