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Finding the Fourth Proportional to 5,662.56, 8,493.36 and 1,964.16

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Solution

The fourth proportional to 5,662.56, 8,493.36 and 1,964.16 is: 2,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.56 : 8,493.36 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    5,662.56/8,493.36 = 1,964.16/x
  3. Step 3: Cross multiply
    5,662.56x = 8,493.36 × 1,964.16
  4. Step 4: Simplify right side
    5,662.56x = 16,682,317.98
  5. Step 5: Solve for x
    x = 16,682,317.98/5,662.56
  6. Step 6: Final answer
    x = 2,946.07

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Similar ratio
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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.