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Finding the Fourth Proportional to 5,966.49, 8,234.03 and 3,313.91

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Solution

The fourth proportional to 5,966.49, 8,234.03 and 3,313.91 is: 4,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.49 : 8,234.03 = 3,313.91 : x
  2. Step 2: Convert to fraction form
    5,966.49/8,234.03 = 3,313.91/x
  3. Step 3: Cross multiply
    5,966.49x = 8,234.03 × 3,313.91
  4. Step 4: Simplify right side
    5,966.49x = 27,286,834.36
  5. Step 5: Solve for x
    x = 27,286,834.36/5,966.49
  6. Step 6: Final answer
    x = 4,573.35

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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.