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Finding the Fourth Proportional to 3,997.14, 5,953.44 and 3,788.94

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Solution

The fourth proportional to 3,997.14, 5,953.44 and 3,788.94 is: 5,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.14 : 5,953.44 = 3,788.94 : x
  2. Step 2: Convert to fraction form
    3,997.14/5,953.44 = 3,788.94/x
  3. Step 3: Cross multiply
    3,997.14x = 5,953.44 × 3,788.94
  4. Step 4: Simplify right side
    3,997.14x = 22,557,226.95
  5. Step 5: Solve for x
    x = 22,557,226.95/3,997.14
  6. Step 6: Final answer
    x = 5,643.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.