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Finding the Fourth Proportional to 5,103.78, 7,043.72 and 3,115.67

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Solution

The fourth proportional to 5,103.78, 7,043.72 and 3,115.67 is: 4,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.78 : 7,043.72 = 3,115.67 : x
  2. Step 2: Convert to fraction form
    5,103.78/7,043.72 = 3,115.67/x
  3. Step 3: Cross multiply
    5,103.78x = 7,043.72 × 3,115.67
  4. Step 4: Simplify right side
    5,103.78x = 21,945,856.30
  5. Step 5: Solve for x
    x = 21,945,856.30/5,103.78
  6. Step 6: Final answer
    x = 4,299.92

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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.