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Finding the Fourth Proportional to 5,966.54, 8,233.83 and 3,313.95

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Solution

The fourth proportional to 5,966.54, 8,233.83 and 3,313.95 is: 4,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.54 : 8,233.83 = 3,313.95 : x
  2. Step 2: Convert to fraction form
    5,966.54/8,233.83 = 3,313.95/x
  3. Step 3: Cross multiply
    5,966.54x = 8,233.83 × 3,313.95
  4. Step 4: Simplify right side
    5,966.54x = 27,286,500.93
  5. Step 5: Solve for x
    x = 27,286,500.93/5,966.54
  6. Step 6: Final answer
    x = 4,573.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.