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Finding the Fourth Proportional to 6,920.64, 10,370.88 and 3,453.12

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Solution

The fourth proportional to 6,920.64, 10,370.88 and 3,453.12 is: 5,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.64 : 10,370.88 = 3,453.12 : x
  2. Step 2: Convert to fraction form
    6,920.64/10,370.88 = 3,453.12/x
  3. Step 3: Cross multiply
    6,920.64x = 10,370.88 × 3,453.12
  4. Step 4: Simplify right side
    6,920.64x = 35,811,893.15
  5. Step 5: Solve for x
    x = 35,811,893.15/6,920.64
  6. Step 6: Final answer
    x = 5,174.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.