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Finding the Fourth Proportional to 5,690.73, 7,852.25 and 3,172.29

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Solution

The fourth proportional to 5,690.73, 7,852.25 and 3,172.29 is: 4,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.73 : 7,852.25 = 3,172.29 : x
  2. Step 2: Convert to fraction form
    5,690.73/7,852.25 = 3,172.29/x
  3. Step 3: Cross multiply
    5,690.73x = 7,852.25 × 3,172.29
  4. Step 4: Simplify right side
    5,690.73x = 24,909,614.15
  5. Step 5: Solve for x
    x = 24,909,614.15/5,690.73
  6. Step 6: Final answer
    x = 4,377.23

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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.