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Finding the Fourth Proportional to 5,274.24, 7,908.93 and 3,083.64

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Solution

The fourth proportional to 5,274.24, 7,908.93 and 3,083.64 is: 4,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.24 : 7,908.93 = 3,083.64 : x
  2. Step 2: Convert to fraction form
    5,274.24/7,908.93 = 3,083.64/x
  3. Step 3: Cross multiply
    5,274.24x = 7,908.93 × 3,083.64
  4. Step 4: Simplify right side
    5,274.24x = 24,388,292.91
  5. Step 5: Solve for x
    x = 24,388,292.91/5,274.24
  6. Step 6: Final answer
    x = 4,624.04

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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.