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Finding the Fourth Proportional to 5,730.53, 7,908.17 and 3,212.75

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Solution

The fourth proportional to 5,730.53, 7,908.17 and 3,212.75 is: 4,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.53 : 7,908.17 = 3,212.75 : x
  2. Step 2: Convert to fraction form
    5,730.53/7,908.17 = 3,212.75/x
  3. Step 3: Cross multiply
    5,730.53x = 7,908.17 × 3,212.75
  4. Step 4: Simplify right side
    5,730.53x = 25,406,917.56
  5. Step 5: Solve for x
    x = 25,406,917.56/5,730.53
  6. Step 6: Final answer
    x = 4,433.61

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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.