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Finding the Fourth Proportional to 4,286.64, 5,914.44 and 2,493.48

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Solution

The fourth proportional to 4,286.64, 5,914.44 and 2,493.48 is: 3,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.64 : 5,914.44 = 2,493.48 : x
  2. Step 2: Convert to fraction form
    4,286.64/5,914.44 = 2,493.48/x
  3. Step 3: Cross multiply
    4,286.64x = 5,914.44 × 2,493.48
  4. Step 4: Simplify right side
    4,286.64x = 14,747,537.85
  5. Step 5: Solve for x
    x = 14,747,537.85/4,286.64
  6. Step 6: Final answer
    x = 3,440.35

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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.