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Finding the Fourth Proportional to 3,783.72, 5,220.86 and 2,168.48

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Solution

The fourth proportional to 3,783.72, 5,220.86 and 2,168.48 is: 2,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.72 : 5,220.86 = 2,168.48 : x
  2. Step 2: Convert to fraction form
    3,783.72/5,220.86 = 2,168.48/x
  3. Step 3: Cross multiply
    3,783.72x = 5,220.86 × 2,168.48
  4. Step 4: Simplify right side
    3,783.72x = 11,321,330.49
  5. Step 5: Solve for x
    x = 11,321,330.49/3,783.72
  6. Step 6: Final answer
    x = 2,992.12

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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.