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Finding the Fourth Proportional to 5,966.32, 8,233.76 and 3,313.72

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Solution

The fourth proportional to 5,966.32, 8,233.76 and 3,313.72 is: 4,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.32 : 8,233.76 = 3,313.72 : x
  2. Step 2: Convert to fraction form
    5,966.32/8,233.76 = 3,313.72/x
  3. Step 3: Cross multiply
    5,966.32x = 8,233.76 × 3,313.72
  4. Step 4: Simplify right side
    5,966.32x = 27,284,375.19
  5. Step 5: Solve for x
    x = 27,284,375.19/5,966.32
  6. Step 6: Final answer
    x = 4,573.07

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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.