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Finding the Fourth Proportional to 3,454.47, 5,181.70 and 857.41

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Solution

The fourth proportional to 3,454.47, 5,181.70 and 857.41 is: 1,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.47 : 5,181.70 = 857.41 : x
  2. Step 2: Convert to fraction form
    3,454.47/5,181.70 = 857.41/x
  3. Step 3: Cross multiply
    3,454.47x = 5,181.70 × 857.41
  4. Step 4: Simplify right side
    3,454.47x = 4,442,811.20
  5. Step 5: Solve for x
    x = 4,442,811.20/3,454.47
  6. Step 6: Final answer
    x = 1,286.11

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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.