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Finding the Fourth Proportional to 3,786.88, 5,686.80 and 3,022.24

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Solution

The fourth proportional to 3,786.88, 5,686.80 and 3,022.24 is: 4,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.88 : 5,686.80 = 3,022.24 : x
  2. Step 2: Convert to fraction form
    3,786.88/5,686.80 = 3,022.24/x
  3. Step 3: Cross multiply
    3,786.88x = 5,686.80 × 3,022.24
  4. Step 4: Simplify right side
    3,786.88x = 17,186,874.43
  5. Step 5: Solve for x
    x = 17,186,874.43/3,786.88
  6. Step 6: Final answer
    x = 4,538.53

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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.