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Finding the Fourth Proportional to 5,773.25, 7,967.09 and 3,289.25

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Solution

The fourth proportional to 5,773.25, 7,967.09 and 3,289.25 is: 4,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.25 : 7,967.09 = 3,289.25 : x
  2. Step 2: Convert to fraction form
    5,773.25/7,967.09 = 3,289.25/x
  3. Step 3: Cross multiply
    5,773.25x = 7,967.09 × 3,289.25
  4. Step 4: Simplify right side
    5,773.25x = 26,205,750.78
  5. Step 5: Solve for x
    x = 26,205,750.78/5,773.25
  6. Step 6: Final answer
    x = 4,539.17

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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.