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Finding the Fourth Proportional to 5,975.82, 8,964.15 and 2,277.42

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Solution

The fourth proportional to 5,975.82, 8,964.15 and 2,277.42 is: 3,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.82 : 8,964.15 = 2,277.42 : x
  2. Step 2: Convert to fraction form
    5,975.82/8,964.15 = 2,277.42/x
  3. Step 3: Cross multiply
    5,975.82x = 8,964.15 × 2,277.42
  4. Step 4: Simplify right side
    5,975.82x = 20,415,134.49
  5. Step 5: Solve for x
    x = 20,415,134.49/5,975.82
  6. Step 6: Final answer
    x = 3,416.29

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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.