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Finding the Fourth Proportional to 5,531.82, 8,297.72 and 1,833.06

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Solution

The fourth proportional to 5,531.82, 8,297.72 and 1,833.06 is: 2,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.82 : 8,297.72 = 1,833.06 : x
  2. Step 2: Convert to fraction form
    5,531.82/8,297.72 = 1,833.06/x
  3. Step 3: Cross multiply
    5,531.82x = 8,297.72 × 1,833.06
  4. Step 4: Simplify right side
    5,531.82x = 15,210,218.62
  5. Step 5: Solve for x
    x = 15,210,218.62/5,531.82
  6. Step 6: Final answer
    x = 2,749.59

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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.