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Finding the Fourth Proportional to 3,857.52, 5,786.22 and 1,225.02

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Solution

The fourth proportional to 3,857.52, 5,786.22 and 1,225.02 is: 1,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.52 : 5,786.22 = 1,225.02 : x
  2. Step 2: Convert to fraction form
    3,857.52/5,786.22 = 1,225.02/x
  3. Step 3: Cross multiply
    3,857.52x = 5,786.22 × 1,225.02
  4. Step 4: Simplify right side
    3,857.52x = 7,088,235.22
  5. Step 5: Solve for x
    x = 7,088,235.22/3,857.52
  6. Step 6: Final answer
    x = 1,837.51

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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.