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Finding the Fourth Proportional to 5,311.57, 7,331.78 and 3,215.69

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Solution

The fourth proportional to 5,311.57, 7,331.78 and 3,215.69 is: 4,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.57 : 7,331.78 = 3,215.69 : x
  2. Step 2: Convert to fraction form
    5,311.57/7,331.78 = 3,215.69/x
  3. Step 3: Cross multiply
    5,311.57x = 7,331.78 × 3,215.69
  4. Step 4: Simplify right side
    5,311.57x = 23,576,731.63
  5. Step 5: Solve for x
    x = 23,576,731.63/5,311.57
  6. Step 6: Final answer
    x = 4,438.75

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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.