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Finding the Fourth Proportional to 6,380.50, 8,805.36 and 3,586

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Solution

The fourth proportional to 6,380.50, 8,805.36 and 3,586 is: 4,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.50 : 8,805.36 = 3,586 : x
  2. Step 2: Convert to fraction form
    6,380.50/8,805.36 = 3,586/x
  3. Step 3: Cross multiply
    6,380.50x = 8,805.36 × 3,586
  4. Step 4: Simplify right side
    6,380.50x = 31,576,020.96
  5. Step 5: Solve for x
    x = 31,576,020.96/6,380.50
  6. Step 6: Final answer
    x = 4,948.83

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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.