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Finding the Fourth Proportional to 5,667.99, 7,821.25 and 3,311.50

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Solution

The fourth proportional to 5,667.99, 7,821.25 and 3,311.50 is: 4,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.99 : 7,821.25 = 3,311.50 : x
  2. Step 2: Convert to fraction form
    5,667.99/7,821.25 = 3,311.50/x
  3. Step 3: Cross multiply
    5,667.99x = 7,821.25 × 3,311.50
  4. Step 4: Simplify right side
    5,667.99x = 25,900,069.38
  5. Step 5: Solve for x
    x = 25,900,069.38/5,667.99
  6. Step 6: Final answer
    x = 4,569.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.