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Finding the Fourth Proportional to 5,129.72, 7,695.84 and 2,206.44

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Solution

The fourth proportional to 5,129.72, 7,695.84 and 2,206.44 is: 3,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.72 : 7,695.84 = 2,206.44 : x
  2. Step 2: Convert to fraction form
    5,129.72/7,695.84 = 2,206.44/x
  3. Step 3: Cross multiply
    5,129.72x = 7,695.84 × 2,206.44
  4. Step 4: Simplify right side
    5,129.72x = 16,980,409.21
  5. Step 5: Solve for x
    x = 16,980,409.21/5,129.72
  6. Step 6: Final answer
    x = 3,310.20

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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.