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Finding the Fourth Proportional to 5,949.32, 8,922.72 and 2,054

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Solution

The fourth proportional to 5,949.32, 8,922.72 and 2,054 is: 3,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.32 : 8,922.72 = 2,054 : x
  2. Step 2: Convert to fraction form
    5,949.32/8,922.72 = 2,054/x
  3. Step 3: Cross multiply
    5,949.32x = 8,922.72 × 2,054
  4. Step 4: Simplify right side
    5,949.32x = 18,327,266.88
  5. Step 5: Solve for x
    x = 18,327,266.88/5,949.32
  6. Step 6: Final answer
    x = 3,080.56

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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.