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Finding the Fourth Proportional to 3,836, 5,754.02 and 1,100

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Solution

The fourth proportional to 3,836, 5,754.02 and 1,100 is: 1,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836 : 5,754.02 = 1,100 : x
  2. Step 2: Convert to fraction form
    3,836/5,754.02 = 1,100/x
  3. Step 3: Cross multiply
    3,836x = 5,754.02 × 1,100
  4. Step 4: Simplify right side
    3,836x = 6,329,422.00
  5. Step 5: Solve for x
    x = 6,329,422.00/3,836
  6. Step 6: Final answer
    x = 1,650.01

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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.