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Finding the Fourth Proportional to 3,454.71, 5,182.02 and 857.63

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Solution

The fourth proportional to 3,454.71, 5,182.02 and 857.63 is: 1,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.71 : 5,182.02 = 857.63 : x
  2. Step 2: Convert to fraction form
    3,454.71/5,182.02 = 857.63/x
  3. Step 3: Cross multiply
    3,454.71x = 5,182.02 × 857.63
  4. Step 4: Simplify right side
    3,454.71x = 4,444,229.90
  5. Step 5: Solve for x
    x = 4,444,229.90/3,454.71
  6. Step 6: Final answer
    x = 1,286.43

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1.5x scale

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.