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Finding the Fourth Proportional to 5,306.94, 7,960.92 and 2,187.16

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Solution

The fourth proportional to 5,306.94, 7,960.92 and 2,187.16 is: 3,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.94 : 7,960.92 = 2,187.16 : x
  2. Step 2: Convert to fraction form
    5,306.94/7,960.92 = 2,187.16/x
  3. Step 3: Cross multiply
    5,306.94x = 7,960.92 × 2,187.16
  4. Step 4: Simplify right side
    5,306.94x = 17,411,755.05
  5. Step 5: Solve for x
    x = 17,411,755.05/5,306.94
  6. Step 6: Final answer
    x = 3,280.94

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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.