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Finding the Fourth Proportional to 3,493.76, 4,828.26 and 2,863.23

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Solution

The fourth proportional to 3,493.76, 4,828.26 and 2,863.23 is: 3,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.76 : 4,828.26 = 2,863.23 : x
  2. Step 2: Convert to fraction form
    3,493.76/4,828.26 = 2,863.23/x
  3. Step 3: Cross multiply
    3,493.76x = 4,828.26 × 2,863.23
  4. Step 4: Simplify right side
    3,493.76x = 13,824,418.88
  5. Step 5: Solve for x
    x = 13,824,418.88/3,493.76
  6. Step 6: Final answer
    x = 3,956.89

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1.5x scale

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.