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Finding the Fourth Proportional to 4,196.53, 5,791.21 and 2,333.53

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Solution

The fourth proportional to 4,196.53, 5,791.21 and 2,333.53 is: 3,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.53 : 5,791.21 = 2,333.53 : x
  2. Step 2: Convert to fraction form
    4,196.53/5,791.21 = 2,333.53/x
  3. Step 3: Cross multiply
    4,196.53x = 5,791.21 × 2,333.53
  4. Step 4: Simplify right side
    4,196.53x = 13,513,976.80
  5. Step 5: Solve for x
    x = 13,513,976.80/4,196.53
  6. Step 6: Final answer
    x = 3,220.27

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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.