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Finding the Fourth Proportional to 3,894.49, 5,842.42 and 1,674.69

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Solution

The fourth proportional to 3,894.49, 5,842.42 and 1,674.69 is: 2,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.49 : 5,842.42 = 1,674.69 : x
  2. Step 2: Convert to fraction form
    3,894.49/5,842.42 = 1,674.69/x
  3. Step 3: Cross multiply
    3,894.49x = 5,842.42 × 1,674.69
  4. Step 4: Simplify right side
    3,894.49x = 9,784,208.95
  5. Step 5: Solve for x
    x = 9,784,208.95/3,894.49
  6. Step 6: Final answer
    x = 2,512.32

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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.