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Finding the Fourth Proportional to 3,836.55, 5,750.29 and 2,194.23

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Solution

The fourth proportional to 3,836.55, 5,750.29 and 2,194.23 is: 3,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.55 : 5,750.29 = 2,194.23 : x
  2. Step 2: Convert to fraction form
    3,836.55/5,750.29 = 2,194.23/x
  3. Step 3: Cross multiply
    3,836.55x = 5,750.29 × 2,194.23
  4. Step 4: Simplify right side
    3,836.55x = 12,617,458.83
  5. Step 5: Solve for x
    x = 12,617,458.83/3,836.55
  6. Step 6: Final answer
    x = 3,288.75

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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.