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Finding the Fourth Proportional to 4,969.44, 6,855.36 and 3,640.32

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Solution

The fourth proportional to 4,969.44, 6,855.36 and 3,640.32 is: 5,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.44 : 6,855.36 = 3,640.32 : x
  2. Step 2: Convert to fraction form
    4,969.44/6,855.36 = 3,640.32/x
  3. Step 3: Cross multiply
    4,969.44x = 6,855.36 × 3,640.32
  4. Step 4: Simplify right side
    4,969.44x = 24,955,704.12
  5. Step 5: Solve for x
    x = 24,955,704.12/4,969.44
  6. Step 6: Final answer
    x = 5,021.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.