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Finding the Fourth Proportional to 4,751.34, 7,142.94 and 3,833.34

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Solution

The fourth proportional to 4,751.34, 7,142.94 and 3,833.34 is: 5,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.34 : 7,142.94 = 3,833.34 : x
  2. Step 2: Convert to fraction form
    4,751.34/7,142.94 = 3,833.34/x
  3. Step 3: Cross multiply
    4,751.34x = 7,142.94 × 3,833.34
  4. Step 4: Simplify right side
    4,751.34x = 27,381,317.62
  5. Step 5: Solve for x
    x = 27,381,317.62/4,751.34
  6. Step 6: Final answer
    x = 5,762.86

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