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Finding the Fourth Proportional to 3,829.35, 5,739.23 and 2,074.35

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Solution

The fourth proportional to 3,829.35, 5,739.23 and 2,074.35 is: 3,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.35 : 5,739.23 = 2,074.35 : x
  2. Step 2: Convert to fraction form
    3,829.35/5,739.23 = 2,074.35/x
  3. Step 3: Cross multiply
    3,829.35x = 5,739.23 × 2,074.35
  4. Step 4: Simplify right side
    3,829.35x = 11,905,161.38
  5. Step 5: Solve for x
    x = 11,905,161.38/3,829.35
  6. Step 6: Final answer
    x = 3,108.92

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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.