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Finding the Fourth Proportional to 5,965.63, 8,232.15 and 3,312.83

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Solution

The fourth proportional to 5,965.63, 8,232.15 and 3,312.83 is: 4,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.63 : 8,232.15 = 3,312.83 : x
  2. Step 2: Convert to fraction form
    5,965.63/8,232.15 = 3,312.83/x
  3. Step 3: Cross multiply
    5,965.63x = 8,232.15 × 3,312.83
  4. Step 4: Simplify right side
    5,965.63x = 27,271,713.48
  5. Step 5: Solve for x
    x = 27,271,713.48/5,965.63
  6. Step 6: Final answer
    x = 4,571.47

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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.