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Finding the Fourth Proportional to 5,965.17, 8,231.80 and 3,312.51

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Solution

The fourth proportional to 5,965.17, 8,231.80 and 3,312.51 is: 4,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.17 : 8,231.80 = 3,312.51 : x
  2. Step 2: Convert to fraction form
    5,965.17/8,231.80 = 3,312.51/x
  3. Step 3: Cross multiply
    5,965.17x = 8,231.80 × 3,312.51
  4. Step 4: Simplify right side
    5,965.17x = 27,267,919.82
  5. Step 5: Solve for x
    x = 27,267,919.82/5,965.17
  6. Step 6: Final answer
    x = 4,571.19

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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.