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Finding the Fourth Proportional to 5,364.92, 8,049 and 3,616.94

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Solution

The fourth proportional to 5,364.92, 8,049 and 3,616.94 is: 5,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.92 : 8,049 = 3,616.94 : x
  2. Step 2: Convert to fraction form
    5,364.92/8,049 = 3,616.94/x
  3. Step 3: Cross multiply
    5,364.92x = 8,049 × 3,616.94
  4. Step 4: Simplify right side
    5,364.92x = 29,112,750.06
  5. Step 5: Solve for x
    x = 29,112,750.06/5,364.92
  6. Step 6: Final answer
    x = 5,426.50

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Why These Related Problems?

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