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Finding the Fourth Proportional to 3,745.84, 5,619.64 and 1,280.68

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Solution

The fourth proportional to 3,745.84, 5,619.64 and 1,280.68 is: 1,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.84 : 5,619.64 = 1,280.68 : x
  2. Step 2: Convert to fraction form
    3,745.84/5,619.64 = 1,280.68/x
  3. Step 3: Cross multiply
    3,745.84x = 5,619.64 × 1,280.68
  4. Step 4: Simplify right side
    3,745.84x = 7,196,960.56
  5. Step 5: Solve for x
    x = 7,196,960.56/3,745.84
  6. Step 6: Final answer
    x = 1,921.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.