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Finding the Fourth Proportional to 3,842.28, 5,764.26 and 1,245.16

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Solution

The fourth proportional to 3,842.28, 5,764.26 and 1,245.16 is: 1,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.28 : 5,764.26 = 1,245.16 : x
  2. Step 2: Convert to fraction form
    3,842.28/5,764.26 = 1,245.16/x
  3. Step 3: Cross multiply
    3,842.28x = 5,764.26 × 1,245.16
  4. Step 4: Simplify right side
    3,842.28x = 7,177,425.98
  5. Step 5: Solve for x
    x = 7,177,425.98/3,842.28
  6. Step 6: Final answer
    x = 1,868.01

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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.