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Finding the Fourth Proportional to 3,554, 4,904.52 and 1,982.06

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Solution

The fourth proportional to 3,554, 4,904.52 and 1,982.06 is: 2,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554 : 4,904.52 = 1,982.06 : x
  2. Step 2: Convert to fraction form
    3,554/4,904.52 = 1,982.06/x
  3. Step 3: Cross multiply
    3,554x = 4,904.52 × 1,982.06
  4. Step 4: Simplify right side
    3,554x = 9,721,052.91
  5. Step 5: Solve for x
    x = 9,721,052.91/3,554
  6. Step 6: Final answer
    x = 2,735.24

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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.