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Finding the Fourth Proportional to 5,709.75, 8,552.67 and 3,628.69

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Solution

The fourth proportional to 5,709.75, 8,552.67 and 3,628.69 is: 5,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.75 : 8,552.67 = 3,628.69 : x
  2. Step 2: Convert to fraction form
    5,709.75/8,552.67 = 3,628.69/x
  3. Step 3: Cross multiply
    5,709.75x = 8,552.67 × 3,628.69
  4. Step 4: Simplify right side
    5,709.75x = 31,034,988.10
  5. Step 5: Solve for x
    x = 31,034,988.10/5,709.75
  6. Step 6: Final answer
    x = 5,435.44

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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.