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Finding the Fourth Proportional to 5,297.25, 7,305.12 and 3,172.44

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Solution

The fourth proportional to 5,297.25, 7,305.12 and 3,172.44 is: 4,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.25 : 7,305.12 = 3,172.44 : x
  2. Step 2: Convert to fraction form
    5,297.25/7,305.12 = 3,172.44/x
  3. Step 3: Cross multiply
    5,297.25x = 7,305.12 × 3,172.44
  4. Step 4: Simplify right side
    5,297.25x = 23,175,054.89
  5. Step 5: Solve for x
    x = 23,175,054.89/5,297.25
  6. Step 6: Final answer
    x = 4,374.92

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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.