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Finding the Fourth Proportional to 4,954.72, 6,837.80 and 2,830.88

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Solution

The fourth proportional to 4,954.72, 6,837.80 and 2,830.88 is: 3,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.72 : 6,837.80 = 2,830.88 : x
  2. Step 2: Convert to fraction form
    4,954.72/6,837.80 = 2,830.88/x
  3. Step 3: Cross multiply
    4,954.72x = 6,837.80 × 2,830.88
  4. Step 4: Simplify right side
    4,954.72x = 19,356,991.26
  5. Step 5: Solve for x
    x = 19,356,991.26/4,954.72
  6. Step 6: Final answer
    x = 3,906.78

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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.