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Finding the Fourth Proportional to 3,698.28, 5,103.36 and 2,754

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Solution

The fourth proportional to 3,698.28, 5,103.36 and 2,754 is: 3,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.28 : 5,103.36 = 2,754 : x
  2. Step 2: Convert to fraction form
    3,698.28/5,103.36 = 2,754/x
  3. Step 3: Cross multiply
    3,698.28x = 5,103.36 × 2,754
  4. Step 4: Simplify right side
    3,698.28x = 14,054,653.44
  5. Step 5: Solve for x
    x = 14,054,653.44/3,698.28
  6. Step 6: Final answer
    x = 3,800.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.