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Finding the Fourth Proportional to 5,662.10, 8,493.16 and 1,964.34

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Solution

The fourth proportional to 5,662.10, 8,493.16 and 1,964.34 is: 2,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.10 : 8,493.16 = 1,964.34 : x
  2. Step 2: Convert to fraction form
    5,662.10/8,493.16 = 1,964.34/x
  3. Step 3: Cross multiply
    5,662.10x = 8,493.16 × 1,964.34
  4. Step 4: Simplify right side
    5,662.10x = 16,683,453.91
  5. Step 5: Solve for x
    x = 16,683,453.91/5,662.10
  6. Step 6: Final answer
    x = 2,946.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.