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Finding the Fourth Proportional to 4,849.49, 7,274.93 and 1,728.56

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Solution

The fourth proportional to 4,849.49, 7,274.93 and 1,728.56 is: 2,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.49 : 7,274.93 = 1,728.56 : x
  2. Step 2: Convert to fraction form
    4,849.49/7,274.93 = 1,728.56/x
  3. Step 3: Cross multiply
    4,849.49x = 7,274.93 × 1,728.56
  4. Step 4: Simplify right side
    4,849.49x = 12,575,162.55
  5. Step 5: Solve for x
    x = 12,575,162.55/4,849.49
  6. Step 6: Final answer
    x = 2,593.09

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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.