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Finding the Fourth Proportional to 3,873.06, 5,805.87 and 1,924.20

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Solution

The fourth proportional to 3,873.06, 5,805.87 and 1,924.20 is: 2,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.06 : 5,805.87 = 1,924.20 : x
  2. Step 2: Convert to fraction form
    3,873.06/5,805.87 = 1,924.20/x
  3. Step 3: Cross multiply
    3,873.06x = 5,805.87 × 1,924.20
  4. Step 4: Simplify right side
    3,873.06x = 11,171,655.05
  5. Step 5: Solve for x
    x = 11,171,655.05/3,873.06
  6. Step 6: Final answer
    x = 2,884.45

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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.