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Finding the Fourth Proportional to 5,662.05, 8,493.08 and 2,742.81

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Solution

The fourth proportional to 5,662.05, 8,493.08 and 2,742.81 is: 4,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.05 : 8,493.08 = 2,742.81 : x
  2. Step 2: Convert to fraction form
    5,662.05/8,493.08 = 2,742.81/x
  3. Step 3: Cross multiply
    5,662.05x = 8,493.08 × 2,742.81
  4. Step 4: Simplify right side
    5,662.05x = 23,294,891.04
  5. Step 5: Solve for x
    x = 23,294,891.04/5,662.05
  6. Step 6: Final answer
    x = 4,114.22

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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.