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Finding the Fourth Proportional to 5,741.78, 7,923.08 and 3,223.70

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Solution

The fourth proportional to 5,741.78, 7,923.08 and 3,223.70 is: 4,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.78 : 7,923.08 = 3,223.70 : x
  2. Step 2: Convert to fraction form
    5,741.78/7,923.08 = 3,223.70/x
  3. Step 3: Cross multiply
    5,741.78x = 7,923.08 × 3,223.70
  4. Step 4: Simplify right side
    5,741.78x = 25,541,633.00
  5. Step 5: Solve for x
    x = 25,541,633.00/5,741.78
  6. Step 6: Final answer
    x = 4,448.38

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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.