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Finding the Fourth Proportional to 5,602.97, 7,732.29 and 3,085.26

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Solution

The fourth proportional to 5,602.97, 7,732.29 and 3,085.26 is: 4,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.97 : 7,732.29 = 3,085.26 : x
  2. Step 2: Convert to fraction form
    5,602.97/7,732.29 = 3,085.26/x
  3. Step 3: Cross multiply
    5,602.97x = 7,732.29 × 3,085.26
  4. Step 4: Simplify right side
    5,602.97x = 23,856,107.62
  5. Step 5: Solve for x
    x = 23,856,107.62/5,602.97
  6. Step 6: Final answer
    x = 4,257.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.