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Finding the Fourth Proportional to 3,157.12, 4,736.46 and 1,209.46

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Solution

The fourth proportional to 3,157.12, 4,736.46 and 1,209.46 is: 1,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.12 : 4,736.46 = 1,209.46 : x
  2. Step 2: Convert to fraction form
    3,157.12/4,736.46 = 1,209.46/x
  3. Step 3: Cross multiply
    3,157.12x = 4,736.46 × 1,209.46
  4. Step 4: Simplify right side
    3,157.12x = 5,728,558.91
  5. Step 5: Solve for x
    x = 5,728,558.91/3,157.12
  6. Step 6: Final answer
    x = 1,814.49

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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.