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Finding the Fourth Proportional to 5,273.76, 7,908.16 and 3,083.16

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Solution

The fourth proportional to 5,273.76, 7,908.16 and 3,083.16 is: 4,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.76 : 7,908.16 = 3,083.16 : x
  2. Step 2: Convert to fraction form
    5,273.76/7,908.16 = 3,083.16/x
  3. Step 3: Cross multiply
    5,273.76x = 7,908.16 × 3,083.16
  4. Step 4: Simplify right side
    5,273.76x = 24,382,122.59
  5. Step 5: Solve for x
    x = 24,382,122.59/5,273.76
  6. Step 6: Final answer
    x = 4,623.29

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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.