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Finding the Fourth Proportional to 5,274.38, 7,278.80 and 2,884.48

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Solution

The fourth proportional to 5,274.38, 7,278.80 and 2,884.48 is: 3,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.38 : 7,278.80 = 2,884.48 : x
  2. Step 2: Convert to fraction form
    5,274.38/7,278.80 = 2,884.48/x
  3. Step 3: Cross multiply
    5,274.38x = 7,278.80 × 2,884.48
  4. Step 4: Simplify right side
    5,274.38x = 20,995,520.40
  5. Step 5: Solve for x
    x = 20,995,520.40/5,274.38
  6. Step 6: Final answer
    x = 3,980.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.