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Finding the Fourth Proportional to 5,690.90, 8,537.56 and 1,993.26

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Solution

The fourth proportional to 5,690.90, 8,537.56 and 1,993.26 is: 2,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.90 : 8,537.56 = 1,993.26 : x
  2. Step 2: Convert to fraction form
    5,690.90/8,537.56 = 1,993.26/x
  3. Step 3: Cross multiply
    5,690.90x = 8,537.56 × 1,993.26
  4. Step 4: Simplify right side
    5,690.90x = 17,017,576.85
  5. Step 5: Solve for x
    x = 17,017,576.85/5,690.90
  6. Step 6: Final answer
    x = 2,990.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.