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Finding the Fourth Proportional to 5,965.61, 8,232.66 and 3,313.27

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Solution

The fourth proportional to 5,965.61, 8,232.66 and 3,313.27 is: 4,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.61 : 8,232.66 = 3,313.27 : x
  2. Step 2: Convert to fraction form
    5,965.61/8,232.66 = 3,313.27/x
  3. Step 3: Cross multiply
    5,965.61x = 8,232.66 × 3,313.27
  4. Step 4: Simplify right side
    5,965.61x = 27,276,967.67
  5. Step 5: Solve for x
    x = 27,276,967.67/5,965.61
  6. Step 6: Final answer
    x = 4,572.37

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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.