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Finding the Fourth Proportional to 3,497.17, 5,230.25 and 3,109.88

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Solution

The fourth proportional to 3,497.17, 5,230.25 and 3,109.88 is: 4,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.17 : 5,230.25 = 3,109.88 : x
  2. Step 2: Convert to fraction form
    3,497.17/5,230.25 = 3,109.88/x
  3. Step 3: Cross multiply
    3,497.17x = 5,230.25 × 3,109.88
  4. Step 4: Simplify right side
    3,497.17x = 16,265,449.87
  5. Step 5: Solve for x
    x = 16,265,449.87/3,497.17
  6. Step 6: Final answer
    x = 4,651.04

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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.