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Finding the Fourth Proportional to 3,553.84, 4,904.68 and 1,982.48

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Solution

The fourth proportional to 3,553.84, 4,904.68 and 1,982.48 is: 2,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.84 : 4,904.68 = 1,982.48 : x
  2. Step 2: Convert to fraction form
    3,553.84/4,904.68 = 1,982.48/x
  3. Step 3: Cross multiply
    3,553.84x = 4,904.68 × 1,982.48
  4. Step 4: Simplify right side
    3,553.84x = 9,723,430.01
  5. Step 5: Solve for x
    x = 9,723,430.01/3,553.84
  6. Step 6: Final answer
    x = 2,736.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.