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Finding the Fourth Proportional to 4,945.98, 7,419.65 and 1,825.59

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Solution

The fourth proportional to 4,945.98, 7,419.65 and 1,825.59 is: 2,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.98 : 7,419.65 = 1,825.59 : x
  2. Step 2: Convert to fraction form
    4,945.98/7,419.65 = 1,825.59/x
  3. Step 3: Cross multiply
    4,945.98x = 7,419.65 × 1,825.59
  4. Step 4: Simplify right side
    4,945.98x = 13,545,229.72
  5. Step 5: Solve for x
    x = 13,545,229.72/4,945.98
  6. Step 6: Final answer
    x = 2,738.63

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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.