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Finding the Fourth Proportional to 3,846.15, 5,769.63 and 1,380.78

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Solution

The fourth proportional to 3,846.15, 5,769.63 and 1,380.78 is: 2,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.15 : 5,769.63 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    3,846.15/5,769.63 = 1,380.78/x
  3. Step 3: Cross multiply
    3,846.15x = 5,769.63 × 1,380.78
  4. Step 4: Simplify right side
    3,846.15x = 7,966,589.71
  5. Step 5: Solve for x
    x = 7,966,589.71/3,846.15
  6. Step 6: Final answer
    x = 2,071.32

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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.