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Finding the Fourth Proportional to 5,208.88, 7,813.94 and 3,261.24

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Solution

The fourth proportional to 5,208.88, 7,813.94 and 3,261.24 is: 4,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.88 : 7,813.94 = 3,261.24 : x
  2. Step 2: Convert to fraction form
    5,208.88/7,813.94 = 3,261.24/x
  3. Step 3: Cross multiply
    5,208.88x = 7,813.94 × 3,261.24
  4. Step 4: Simplify right side
    5,208.88x = 25,483,133.69
  5. Step 5: Solve for x
    x = 25,483,133.69/5,208.88
  6. Step 6: Final answer
    x = 4,892.25

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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.