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Finding the Fourth Proportional to 5,238.12, 7,858.15 and 1,728.37

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Solution

The fourth proportional to 5,238.12, 7,858.15 and 1,728.37 is: 2,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.12 : 7,858.15 = 1,728.37 : x
  2. Step 2: Convert to fraction form
    5,238.12/7,858.15 = 1,728.37/x
  3. Step 3: Cross multiply
    5,238.12x = 7,858.15 × 1,728.37
  4. Step 4: Simplify right side
    5,238.12x = 13,581,830.75
  5. Step 5: Solve for x
    x = 13,581,830.75/5,238.12
  6. Step 6: Final answer
    x = 2,592.88

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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.