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Finding the Fourth Proportional to 3,745.64, 5,619.54 and 1,148.96

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Solution

The fourth proportional to 3,745.64, 5,619.54 and 1,148.96 is: 1,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.64 : 5,619.54 = 1,148.96 : x
  2. Step 2: Convert to fraction form
    3,745.64/5,619.54 = 1,148.96/x
  3. Step 3: Cross multiply
    3,745.64x = 5,619.54 × 1,148.96
  4. Step 4: Simplify right side
    3,745.64x = 6,456,626.68
  5. Step 5: Solve for x
    x = 6,456,626.68/3,745.64
  6. Step 6: Final answer
    x = 1,723.77

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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.