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Finding the Fourth Proportional to 3,476.45, 4,797.54 and 1,984.57

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Solution

The fourth proportional to 3,476.45, 4,797.54 and 1,984.57 is: 2,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.45 : 4,797.54 = 1,984.57 : x
  2. Step 2: Convert to fraction form
    3,476.45/4,797.54 = 1,984.57/x
  3. Step 3: Cross multiply
    3,476.45x = 4,797.54 × 1,984.57
  4. Step 4: Simplify right side
    3,476.45x = 9,521,029.97
  5. Step 5: Solve for x
    x = 9,521,029.97/3,476.45
  6. Step 6: Final answer
    x = 2,738.72

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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.