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Finding the Fourth Proportional to 3,768.80, 5,653.40 and 995.49

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Solution

The fourth proportional to 3,768.80, 5,653.40 and 995.49 is: 1,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.80 : 5,653.40 = 995.49 : x
  2. Step 2: Convert to fraction form
    3,768.80/5,653.40 = 995.49/x
  3. Step 3: Cross multiply
    3,768.80x = 5,653.40 × 995.49
  4. Step 4: Simplify right side
    3,768.80x = 5,627,898.19
  5. Step 5: Solve for x
    x = 5,627,898.19/3,768.80
  6. Step 6: Final answer
    x = 1,493.29

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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.