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Finding the Fourth Proportional to 3,753.66, 5,628.56 and 2,194.01

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Solution

The fourth proportional to 3,753.66, 5,628.56 and 2,194.01 is: 3,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.66 : 5,628.56 = 2,194.01 : x
  2. Step 2: Convert to fraction form
    3,753.66/5,628.56 = 2,194.01/x
  3. Step 3: Cross multiply
    3,753.66x = 5,628.56 × 2,194.01
  4. Step 4: Simplify right side
    3,753.66x = 12,349,094.27
  5. Step 5: Solve for x
    x = 12,349,094.27/3,753.66
  6. Step 6: Final answer
    x = 3,289.88

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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.