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Finding the Fourth Proportional to 5,152.47, 7,727.67 and 3,297.98

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Solution

The fourth proportional to 5,152.47, 7,727.67 and 3,297.98 is: 4,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.47 : 7,727.67 = 3,297.98 : x
  2. Step 2: Convert to fraction form
    5,152.47/7,727.67 = 3,297.98/x
  3. Step 3: Cross multiply
    5,152.47x = 7,727.67 × 3,297.98
  4. Step 4: Simplify right side
    5,152.47x = 25,485,662.47
  5. Step 5: Solve for x
    x = 25,485,662.47/5,152.47
  6. Step 6: Final answer
    x = 4,946.30

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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.