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Finding the Fourth Proportional to 4,833.96, 7,241.32 and 3,185.50

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Solution

The fourth proportional to 4,833.96, 7,241.32 and 3,185.50 is: 4,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.96 : 7,241.32 = 3,185.50 : x
  2. Step 2: Convert to fraction form
    4,833.96/7,241.32 = 3,185.50/x
  3. Step 3: Cross multiply
    4,833.96x = 7,241.32 × 3,185.50
  4. Step 4: Simplify right side
    4,833.96x = 23,067,224.86
  5. Step 5: Solve for x
    x = 23,067,224.86/4,833.96
  6. Step 6: Final answer
    x = 4,771.91

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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.