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Finding the Fourth Proportional to 3,880.52, 5,823.70 and 2,843.17

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Solution

The fourth proportional to 3,880.52, 5,823.70 and 2,843.17 is: 4,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.52 : 5,823.70 = 2,843.17 : x
  2. Step 2: Convert to fraction form
    3,880.52/5,823.70 = 2,843.17/x
  3. Step 3: Cross multiply
    3,880.52x = 5,823.70 × 2,843.17
  4. Step 4: Simplify right side
    3,880.52x = 16,557,747.46
  5. Step 5: Solve for x
    x = 16,557,747.46/3,880.52
  6. Step 6: Final answer
    x = 4,266.88

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1.5x scale

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.