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Finding the Fourth Proportional to 4,157.57, 5,738.16 and 3,970.73

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Solution

The fourth proportional to 4,157.57, 5,738.16 and 3,970.73 is: 5,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.57 : 5,738.16 = 3,970.73 : x
  2. Step 2: Convert to fraction form
    4,157.57/5,738.16 = 3,970.73/x
  3. Step 3: Cross multiply
    4,157.57x = 5,738.16 × 3,970.73
  4. Step 4: Simplify right side
    4,157.57x = 22,784,684.06
  5. Step 5: Solve for x
    x = 22,784,684.06/4,157.57
  6. Step 6: Final answer
    x = 5,480.29

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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.