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Finding the Fourth Proportional to 5,975.92, 8,964.92 and 2,278.48

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Solution

The fourth proportional to 5,975.92, 8,964.92 and 2,278.48 is: 3,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.92 : 8,964.92 = 2,278.48 : x
  2. Step 2: Convert to fraction form
    5,975.92/8,964.92 = 2,278.48/x
  3. Step 3: Cross multiply
    5,975.92x = 8,964.92 × 2,278.48
  4. Step 4: Simplify right side
    5,975.92x = 20,426,390.92
  5. Step 5: Solve for x
    x = 20,426,390.92/5,975.92
  6. Step 6: Final answer
    x = 3,418.12

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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.