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Finding the Fourth Proportional to 3,553.84, 4,904.64 and 1,982.08

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Solution

The fourth proportional to 3,553.84, 4,904.64 and 1,982.08 is: 2,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.84 : 4,904.64 = 1,982.08 : x
  2. Step 2: Convert to fraction form
    3,553.84/4,904.64 = 1,982.08/x
  3. Step 3: Cross multiply
    3,553.84x = 4,904.64 × 1,982.08
  4. Step 4: Simplify right side
    3,553.84x = 9,721,388.85
  5. Step 5: Solve for x
    x = 9,721,388.85/3,553.84
  6. Step 6: Final answer
    x = 2,735.46

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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.