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Finding the Fourth Proportional to 3,531.54, 4,871.31 and 2,274.24

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Solution

The fourth proportional to 3,531.54, 4,871.31 and 2,274.24 is: 3,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.54 : 4,871.31 = 2,274.24 : x
  2. Step 2: Convert to fraction form
    3,531.54/4,871.31 = 2,274.24/x
  3. Step 3: Cross multiply
    3,531.54x = 4,871.31 × 2,274.24
  4. Step 4: Simplify right side
    3,531.54x = 11,078,528.05
  5. Step 5: Solve for x
    x = 11,078,528.05/3,531.54
  6. Step 6: Final answer
    x = 3,137.02

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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.