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Finding the Fourth Proportional to 3,847.71, 5,772.42 and 1,384.32

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Solution

The fourth proportional to 3,847.71, 5,772.42 and 1,384.32 is: 2,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.71 : 5,772.42 = 1,384.32 : x
  2. Step 2: Convert to fraction form
    3,847.71/5,772.42 = 1,384.32/x
  3. Step 3: Cross multiply
    3,847.71x = 5,772.42 × 1,384.32
  4. Step 4: Simplify right side
    3,847.71x = 7,990,876.45
  5. Step 5: Solve for x
    x = 7,990,876.45/3,847.71
  6. Step 6: Final answer
    x = 2,076.79

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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.