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Finding the Fourth Proportional to 5,942.75, 8,203.16 and 3,458.75

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Solution

The fourth proportional to 5,942.75, 8,203.16 and 3,458.75 is: 4,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.75 : 8,203.16 = 3,458.75 : x
  2. Step 2: Convert to fraction form
    5,942.75/8,203.16 = 3,458.75/x
  3. Step 3: Cross multiply
    5,942.75x = 8,203.16 × 3,458.75
  4. Step 4: Simplify right side
    5,942.75x = 28,372,679.65
  5. Step 5: Solve for x
    x = 28,372,679.65/5,942.75
  6. Step 6: Final answer
    x = 4,774.34

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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.