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Finding the Fourth Proportional to 5,965.12, 8,232.48 and 3,312.88

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Solution

The fourth proportional to 5,965.12, 8,232.48 and 3,312.88 is: 4,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.12 : 8,232.48 = 3,312.88 : x
  2. Step 2: Convert to fraction form
    5,965.12/8,232.48 = 3,312.88/x
  3. Step 3: Cross multiply
    5,965.12x = 8,232.48 × 3,312.88
  4. Step 4: Simplify right side
    5,965.12x = 27,273,218.34
  5. Step 5: Solve for x
    x = 27,273,218.34/5,965.12
  6. Step 6: Final answer
    x = 4,572.12

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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.