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Finding the Fourth Proportional to 5,175.70, 7,139.54 and 3,185.85

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Solution

The fourth proportional to 5,175.70, 7,139.54 and 3,185.85 is: 4,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.70 : 7,139.54 = 3,185.85 : x
  2. Step 2: Convert to fraction form
    5,175.70/7,139.54 = 3,185.85/x
  3. Step 3: Cross multiply
    5,175.70x = 7,139.54 × 3,185.85
  4. Step 4: Simplify right side
    5,175.70x = 22,745,498.09
  5. Step 5: Solve for x
    x = 22,745,498.09/5,175.70
  6. Step 6: Final answer
    x = 4,394.67

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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.