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Finding the Fourth Proportional to 4,906.24, 7,359.12 and 1,828

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Solution

The fourth proportional to 4,906.24, 7,359.12 and 1,828 is: 2,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.24 : 7,359.12 = 1,828 : x
  2. Step 2: Convert to fraction form
    4,906.24/7,359.12 = 1,828/x
  3. Step 3: Cross multiply
    4,906.24x = 7,359.12 × 1,828
  4. Step 4: Simplify right side
    4,906.24x = 13,452,471.36
  5. Step 5: Solve for x
    x = 13,452,471.36/4,906.24
  6. Step 6: Final answer
    x = 2,741.91

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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.