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Finding the Fourth Proportional to 4,923.54, 6,794.22 and 2,798.78

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Solution

The fourth proportional to 4,923.54, 6,794.22 and 2,798.78 is: 3,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.54 : 6,794.22 = 2,798.78 : x
  2. Step 2: Convert to fraction form
    4,923.54/6,794.22 = 2,798.78/x
  3. Step 3: Cross multiply
    4,923.54x = 6,794.22 × 2,798.78
  4. Step 4: Simplify right side
    4,923.54x = 19,015,529.05
  5. Step 5: Solve for x
    x = 19,015,529.05/4,923.54
  6. Step 6: Final answer
    x = 3,862.16

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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.