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Finding the Fourth Proportional to 3,754.51, 5,628.09 and 2,089.43

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Solution

The fourth proportional to 3,754.51, 5,628.09 and 2,089.43 is: 3,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.51 : 5,628.09 = 2,089.43 : x
  2. Step 2: Convert to fraction form
    3,754.51/5,628.09 = 2,089.43/x
  3. Step 3: Cross multiply
    3,754.51x = 5,628.09 × 2,089.43
  4. Step 4: Simplify right side
    3,754.51x = 11,759,496.54
  5. Step 5: Solve for x
    x = 11,759,496.54/3,754.51
  6. Step 6: Final answer
    x = 3,132.10

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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.