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Finding the Fourth Proportional to 5,662.54, 7,813.96 and 3,144.50

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Solution

The fourth proportional to 5,662.54, 7,813.96 and 3,144.50 is: 4,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.54 : 7,813.96 = 3,144.50 : x
  2. Step 2: Convert to fraction form
    5,662.54/7,813.96 = 3,144.50/x
  3. Step 3: Cross multiply
    5,662.54x = 7,813.96 × 3,144.50
  4. Step 4: Simplify right side
    5,662.54x = 24,570,997.22
  5. Step 5: Solve for x
    x = 24,570,997.22/5,662.54
  6. Step 6: Final answer
    x = 4,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.