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Finding the Fourth Proportional to 3,745.42, 5,618.07 and 1,436.92

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Solution

The fourth proportional to 3,745.42, 5,618.07 and 1,436.92 is: 2,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.42 : 5,618.07 = 1,436.92 : x
  2. Step 2: Convert to fraction form
    3,745.42/5,618.07 = 1,436.92/x
  3. Step 3: Cross multiply
    3,745.42x = 5,618.07 × 1,436.92
  4. Step 4: Simplify right side
    3,745.42x = 8,072,717.14
  5. Step 5: Solve for x
    x = 8,072,717.14/3,745.42
  6. Step 6: Final answer
    x = 2,155.36

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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.