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Finding the Fourth Proportional to 3,454.46, 5,181.64 and 857.38

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Solution

The fourth proportional to 3,454.46, 5,181.64 and 857.38 is: 1,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.46 : 5,181.64 = 857.38 : x
  2. Step 2: Convert to fraction form
    3,454.46/5,181.64 = 857.38/x
  3. Step 3: Cross multiply
    3,454.46x = 5,181.64 × 857.38
  4. Step 4: Simplify right side
    3,454.46x = 4,442,634.50
  5. Step 5: Solve for x
    x = 4,442,634.50/3,454.46
  6. Step 6: Final answer
    x = 1,286.06

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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.