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Finding the Fourth Proportional to 5,066, 7,593.33 and 3,829.40

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Solution

The fourth proportional to 5,066, 7,593.33 and 3,829.40 is: 5,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066 : 7,593.33 = 3,829.40 : x
  2. Step 2: Convert to fraction form
    5,066/7,593.33 = 3,829.40/x
  3. Step 3: Cross multiply
    5,066x = 7,593.33 × 3,829.40
  4. Step 4: Simplify right side
    5,066x = 29,077,897.90
  5. Step 5: Solve for x
    x = 29,077,897.90/5,066
  6. Step 6: Final answer
    x = 5,739.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.