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Finding the Fourth Proportional to 3,745.85, 5,619.65 and 1,280.69

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Solution

The fourth proportional to 3,745.85, 5,619.65 and 1,280.69 is: 1,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.85 : 5,619.65 = 1,280.69 : x
  2. Step 2: Convert to fraction form
    3,745.85/5,619.65 = 1,280.69/x
  3. Step 3: Cross multiply
    3,745.85x = 5,619.65 × 1,280.69
  4. Step 4: Simplify right side
    3,745.85x = 7,196,995.06
  5. Step 5: Solve for x
    x = 7,196,995.06/3,745.85
  6. Step 6: Final answer
    x = 1,921.33

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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.