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Finding the Fourth Proportional to 5,311.44, 7,308.36 and 5,175.76

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Solution

The fourth proportional to 5,311.44, 7,308.36 and 5,175.76 is: 7,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.44 : 7,308.36 = 5,175.76 : x
  2. Step 2: Convert to fraction form
    5,311.44/7,308.36 = 5,175.76/x
  3. Step 3: Cross multiply
    5,311.44x = 7,308.36 × 5,175.76
  4. Step 4: Simplify right side
    5,311.44x = 37,826,317.35
  5. Step 5: Solve for x
    x = 37,826,317.35/5,311.44
  6. Step 6: Final answer
    x = 7,121.67

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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.