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Finding the Fourth Proportional to 5,765.94, 7,953.99 and 3,640.71

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Solution

The fourth proportional to 5,765.94, 7,953.99 and 3,640.71 is: 5,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.94 : 7,953.99 = 3,640.71 : x
  2. Step 2: Convert to fraction form
    5,765.94/7,953.99 = 3,640.71/x
  3. Step 3: Cross multiply
    5,765.94x = 7,953.99 × 3,640.71
  4. Step 4: Simplify right side
    5,765.94x = 28,958,112.96
  5. Step 5: Solve for x
    x = 28,958,112.96/5,765.94
  6. Step 6: Final answer
    x = 5,022.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.