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Finding the Fourth Proportional to 5,310.84, 7,960.25 and 2,674.16

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Solution

The fourth proportional to 5,310.84, 7,960.25 and 2,674.16 is: 4,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.84 : 7,960.25 = 2,674.16 : x
  2. Step 2: Convert to fraction form
    5,310.84/7,960.25 = 2,674.16/x
  3. Step 3: Cross multiply
    5,310.84x = 7,960.25 × 2,674.16
  4. Step 4: Simplify right side
    5,310.84x = 21,286,949.02
  5. Step 5: Solve for x
    x = 21,286,949.02/5,310.84
  6. Step 6: Final answer
    x = 4,008.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.