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Finding the Fourth Proportional to 4,204.29, 5,759.91 and 4,046.64

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Solution

The fourth proportional to 4,204.29, 5,759.91 and 4,046.64 is: 5,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.29 : 5,759.91 = 4,046.64 : x
  2. Step 2: Convert to fraction form
    4,204.29/5,759.91 = 4,046.64/x
  3. Step 3: Cross multiply
    4,204.29x = 5,759.91 × 4,046.64
  4. Step 4: Simplify right side
    4,204.29x = 23,308,276.37
  5. Step 5: Solve for x
    x = 23,308,276.37/4,204.29
  6. Step 6: Final answer
    x = 5,543.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.