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Finding the Fourth Proportional to 3,798, 5,696.82 and 1,200.60

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Solution

The fourth proportional to 3,798, 5,696.82 and 1,200.60 is: 1,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798 : 5,696.82 = 1,200.60 : x
  2. Step 2: Convert to fraction form
    3,798/5,696.82 = 1,200.60/x
  3. Step 3: Cross multiply
    3,798x = 5,696.82 × 1,200.60
  4. Step 4: Simplify right side
    3,798x = 6,839,602.09
  5. Step 5: Solve for x
    x = 6,839,602.09/3,798
  6. Step 6: Final answer
    x = 1,800.84

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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.