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Finding the Fourth Proportional to 3,833.37, 5,289.87 and 2,343.78

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Solution

The fourth proportional to 3,833.37, 5,289.87 and 2,343.78 is: 3,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.37 : 5,289.87 = 2,343.78 : x
  2. Step 2: Convert to fraction form
    3,833.37/5,289.87 = 2,343.78/x
  3. Step 3: Cross multiply
    3,833.37x = 5,289.87 × 2,343.78
  4. Step 4: Simplify right side
    3,833.37x = 12,398,291.51
  5. Step 5: Solve for x
    x = 12,398,291.51/3,833.37
  6. Step 6: Final answer
    x = 3,234.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.