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Finding the Fourth Proportional to 4,160.48, 6,238.89 and 1,238.20

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Solution

The fourth proportional to 4,160.48, 6,238.89 and 1,238.20 is: 1,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.48 : 6,238.89 = 1,238.20 : x
  2. Step 2: Convert to fraction form
    4,160.48/6,238.89 = 1,238.20/x
  3. Step 3: Cross multiply
    4,160.48x = 6,238.89 × 1,238.20
  4. Step 4: Simplify right side
    4,160.48x = 7,724,978.00
  5. Step 5: Solve for x
    x = 7,724,978.00/4,160.48
  6. Step 6: Final answer
    x = 1,856.75

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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.