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Finding the Fourth Proportional to 5,274.30, 7,278.30 and 2,884.22

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Solution

The fourth proportional to 5,274.30, 7,278.30 and 2,884.22 is: 3,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.30 : 7,278.30 = 2,884.22 : x
  2. Step 2: Convert to fraction form
    5,274.30/7,278.30 = 2,884.22/x
  3. Step 3: Cross multiply
    5,274.30x = 7,278.30 × 2,884.22
  4. Step 4: Simplify right side
    5,274.30x = 20,992,218.43
  5. Step 5: Solve for x
    x = 20,992,218.43/5,274.30
  6. Step 6: Final answer
    x = 3,980.10

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1.5x scale

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.