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Finding the Fourth Proportional to 5,449.41, 8,155.44 and 3,785.41

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Solution

The fourth proportional to 5,449.41, 8,155.44 and 3,785.41 is: 5,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.41 : 8,155.44 = 3,785.41 : x
  2. Step 2: Convert to fraction form
    5,449.41/8,155.44 = 3,785.41/x
  3. Step 3: Cross multiply
    5,449.41x = 8,155.44 × 3,785.41
  4. Step 4: Simplify right side
    5,449.41x = 30,871,643.35
  5. Step 5: Solve for x
    x = 30,871,643.35/5,449.41
  6. Step 6: Final answer
    x = 5,665.14

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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.