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Finding the Fourth Proportional to 3,857.56, 5,784.78 and 1,224.20

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Solution

The fourth proportional to 3,857.56, 5,784.78 and 1,224.20 is: 1,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.56 : 5,784.78 = 1,224.20 : x
  2. Step 2: Convert to fraction form
    3,857.56/5,784.78 = 1,224.20/x
  3. Step 3: Cross multiply
    3,857.56x = 5,784.78 × 1,224.20
  4. Step 4: Simplify right side
    3,857.56x = 7,081,727.68
  5. Step 5: Solve for x
    x = 7,081,727.68/3,857.56
  6. Step 6: Final answer
    x = 1,835.80

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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.