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Finding the Fourth Proportional to 3,768.68, 5,653.14 and 995.64

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Solution

The fourth proportional to 3,768.68, 5,653.14 and 995.64 is: 1,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.68 : 5,653.14 = 995.64 : x
  2. Step 2: Convert to fraction form
    3,768.68/5,653.14 = 995.64/x
  3. Step 3: Cross multiply
    3,768.68x = 5,653.14 × 995.64
  4. Step 4: Simplify right side
    3,768.68x = 5,628,504.78
  5. Step 5: Solve for x
    x = 5,628,504.78/3,768.68
  6. Step 6: Final answer
    x = 1,493.50

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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.