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Finding the Fourth Proportional to 5,731.72, 8,594.75 and 2,033.40

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Solution

The fourth proportional to 5,731.72, 8,594.75 and 2,033.40 is: 3,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.72 : 8,594.75 = 2,033.40 : x
  2. Step 2: Convert to fraction form
    5,731.72/8,594.75 = 2,033.40/x
  3. Step 3: Cross multiply
    5,731.72x = 8,594.75 × 2,033.40
  4. Step 4: Simplify right side
    5,731.72x = 17,476,511.51
  5. Step 5: Solve for x
    x = 17,476,511.51/5,731.72
  6. Step 6: Final answer
    x = 3,049.09

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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.