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Finding the Fourth Proportional to 5,976.14, 8,965.64 and 1,816.38

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Solution

The fourth proportional to 5,976.14, 8,965.64 and 1,816.38 is: 2,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.14 : 8,965.64 = 1,816.38 : x
  2. Step 2: Convert to fraction form
    5,976.14/8,965.64 = 1,816.38/x
  3. Step 3: Cross multiply
    5,976.14x = 8,965.64 × 1,816.38
  4. Step 4: Simplify right side
    5,976.14x = 16,285,000.10
  5. Step 5: Solve for x
    x = 16,285,000.10/5,976.14
  6. Step 6: Final answer
    x = 2,725.01

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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.