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Finding the Fourth Proportional to 6,072.57, 9,108.97 and 1,690.02

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Solution

The fourth proportional to 6,072.57, 9,108.97 and 1,690.02 is: 2,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.57 : 9,108.97 = 1,690.02 : x
  2. Step 2: Convert to fraction form
    6,072.57/9,108.97 = 1,690.02/x
  3. Step 3: Cross multiply
    6,072.57x = 9,108.97 × 1,690.02
  4. Step 4: Simplify right side
    6,072.57x = 15,394,337.25
  5. Step 5: Solve for x
    x = 15,394,337.25/6,072.57
  6. Step 6: Final answer
    x = 2,535.06

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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.