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Finding the Fourth Proportional to 3,736.88, 5,157.50 and 2,165.88

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Solution

The fourth proportional to 3,736.88, 5,157.50 and 2,165.88 is: 2,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.88 : 5,157.50 = 2,165.88 : x
  2. Step 2: Convert to fraction form
    3,736.88/5,157.50 = 2,165.88/x
  3. Step 3: Cross multiply
    3,736.88x = 5,157.50 × 2,165.88
  4. Step 4: Simplify right side
    3,736.88x = 11,170,515.27
  5. Step 5: Solve for x
    x = 11,170,515.27/3,736.88
  6. Step 6: Final answer
    x = 2,989.27

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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.