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Finding the Fourth Proportional to 3,764.56, 5,194.98 and 2,108.56

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Solution

The fourth proportional to 3,764.56, 5,194.98 and 2,108.56 is: 2,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.56 : 5,194.98 = 2,108.56 : x
  2. Step 2: Convert to fraction form
    3,764.56/5,194.98 = 2,108.56/x
  3. Step 3: Cross multiply
    3,764.56x = 5,194.98 × 2,108.56
  4. Step 4: Simplify right side
    3,764.56x = 10,953,927.03
  5. Step 5: Solve for x
    x = 10,953,927.03/3,764.56
  6. Step 6: Final answer
    x = 2,909.75

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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.