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Finding the Fourth Proportional to 5,965.84, 8,232.80 and 3,313.09

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Solution

The fourth proportional to 5,965.84, 8,232.80 and 3,313.09 is: 4,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.84 : 8,232.80 = 3,313.09 : x
  2. Step 2: Convert to fraction form
    5,965.84/8,232.80 = 3,313.09/x
  3. Step 3: Cross multiply
    5,965.84x = 8,232.80 × 3,313.09
  4. Step 4: Simplify right side
    5,965.84x = 27,276,007.35
  5. Step 5: Solve for x
    x = 27,276,007.35/5,965.84
  6. Step 6: Final answer
    x = 4,572.03

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