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Finding the Fourth Proportional to 3,884.75, 5,828.00 and 1,694.10

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Solution

The fourth proportional to 3,884.75, 5,828.00 and 1,694.10 is: 2,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.75 : 5,828.00 = 1,694.10 : x
  2. Step 2: Convert to fraction form
    3,884.75/5,828.00 = 1,694.10/x
  3. Step 3: Cross multiply
    3,884.75x = 5,828.00 × 1,694.10
  4. Step 4: Simplify right side
    3,884.75x = 9,873,206.33
  5. Step 5: Solve for x
    x = 9,873,206.33/3,884.75
  6. Step 6: Final answer
    x = 2,541.53

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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.