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Finding the Fourth Proportional to 3,797.34, 5,696.16 and 1,200.27

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Solution

The fourth proportional to 3,797.34, 5,696.16 and 1,200.27 is: 1,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.34 : 5,696.16 = 1,200.27 : x
  2. Step 2: Convert to fraction form
    3,797.34/5,696.16 = 1,200.27/x
  3. Step 3: Cross multiply
    3,797.34x = 5,696.16 × 1,200.27
  4. Step 4: Simplify right side
    3,797.34x = 6,836,929.96
  5. Step 5: Solve for x
    x = 6,836,929.96/3,797.34
  6. Step 6: Final answer
    x = 1,800.45

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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.