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Finding the Fourth Proportional to 5,296.18, 7,311.18 and 3,172.72

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Solution

The fourth proportional to 5,296.18, 7,311.18 and 3,172.72 is: 4,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.18 : 7,311.18 = 3,172.72 : x
  2. Step 2: Convert to fraction form
    5,296.18/7,311.18 = 3,172.72/x
  3. Step 3: Cross multiply
    5,296.18x = 7,311.18 × 3,172.72
  4. Step 4: Simplify right side
    5,296.18x = 23,196,327.01
  5. Step 5: Solve for x
    x = 23,196,327.01/5,296.18
  6. Step 6: Final answer
    x = 4,379.82

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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.