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Finding the Fourth Proportional to 5,863.07, 8,782.80 and 2,738.76

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Solution

The fourth proportional to 5,863.07, 8,782.80 and 2,738.76 is: 4,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.07 : 8,782.80 = 2,738.76 : x
  2. Step 2: Convert to fraction form
    5,863.07/8,782.80 = 2,738.76/x
  3. Step 3: Cross multiply
    5,863.07x = 8,782.80 × 2,738.76
  4. Step 4: Simplify right side
    5,863.07x = 24,053,981.33
  5. Step 5: Solve for x
    x = 24,053,981.33/5,863.07
  6. Step 6: Final answer
    x = 4,102.63

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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.