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Finding the Fourth Proportional to 4,164.94, 5,746.97 and 2,396.21

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Solution

The fourth proportional to 4,164.94, 5,746.97 and 2,396.21 is: 3,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.94 : 5,746.97 = 2,396.21 : x
  2. Step 2: Convert to fraction form
    4,164.94/5,746.97 = 2,396.21/x
  3. Step 3: Cross multiply
    4,164.94x = 5,746.97 × 2,396.21
  4. Step 4: Simplify right side
    4,164.94x = 13,770,910.76
  5. Step 5: Solve for x
    x = 13,770,910.76/4,164.94
  6. Step 6: Final answer
    x = 3,306.39

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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.