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Finding the Fourth Proportional to 3,820.88, 5,724.50 and 2,339.37

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Solution

The fourth proportional to 3,820.88, 5,724.50 and 2,339.37 is: 3,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.88 : 5,724.50 = 2,339.37 : x
  2. Step 2: Convert to fraction form
    3,820.88/5,724.50 = 2,339.37/x
  3. Step 3: Cross multiply
    3,820.88x = 5,724.50 × 2,339.37
  4. Step 4: Simplify right side
    3,820.88x = 13,391,711.87
  5. Step 5: Solve for x
    x = 13,391,711.87/3,820.88
  6. Step 6: Final answer
    x = 3,504.88

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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.