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Finding the Fourth Proportional to 5,274.50, 7,278.60 and 2,884.42

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Solution

The fourth proportional to 5,274.50, 7,278.60 and 2,884.42 is: 3,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.50 : 7,278.60 = 2,884.42 : x
  2. Step 2: Convert to fraction form
    5,274.50/7,278.60 = 2,884.42/x
  3. Step 3: Cross multiply
    5,274.50x = 7,278.60 × 2,884.42
  4. Step 4: Simplify right side
    5,274.50x = 20,994,539.41
  5. Step 5: Solve for x
    x = 20,994,539.41/5,274.50
  6. Step 6: Final answer
    x = 3,980.38

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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.