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Finding the Fourth Proportional to 4,782.75, 6,600.27 and 2,894.00

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Solution

The fourth proportional to 4,782.75, 6,600.27 and 2,894.00 is: 3,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.75 : 6,600.27 = 2,894.00 : x
  2. Step 2: Convert to fraction form
    4,782.75/6,600.27 = 2,894.00/x
  3. Step 3: Cross multiply
    4,782.75x = 6,600.27 × 2,894.00
  4. Step 4: Simplify right side
    4,782.75x = 19,101,148.38
  5. Step 5: Solve for x
    x = 19,101,148.38/4,782.75
  6. Step 6: Final answer
    x = 3,993.76

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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.