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Finding the Fourth Proportional to 5,297.60, 7,309.91 and 3,172.64

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Solution

The fourth proportional to 5,297.60, 7,309.91 and 3,172.64 is: 4,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.60 : 7,309.91 = 3,172.64 : x
  2. Step 2: Convert to fraction form
    5,297.60/7,309.91 = 3,172.64/x
  3. Step 3: Cross multiply
    5,297.60x = 7,309.91 × 3,172.64
  4. Step 4: Simplify right side
    5,297.60x = 23,191,660.45
  5. Step 5: Solve for x
    x = 23,191,660.45/5,297.60
  6. Step 6: Final answer
    x = 4,377.77

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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.