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Finding the Fourth Proportional to 3,751.36, 5,614.80 and 3,204.64

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Solution

The fourth proportional to 3,751.36, 5,614.80 and 3,204.64 is: 4,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.36 : 5,614.80 = 3,204.64 : x
  2. Step 2: Convert to fraction form
    3,751.36/5,614.80 = 3,204.64/x
  3. Step 3: Cross multiply
    3,751.36x = 5,614.80 × 3,204.64
  4. Step 4: Simplify right side
    3,751.36x = 17,993,412.67
  5. Step 5: Solve for x
    x = 17,993,412.67/3,751.36
  6. Step 6: Final answer
    x = 4,796.50

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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.