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Finding the Fourth Proportional to 6,432.56, 8,876.76 and 3,638

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Solution

The fourth proportional to 6,432.56, 8,876.76 and 3,638 is: 5,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.56 : 8,876.76 = 3,638 : x
  2. Step 2: Convert to fraction form
    6,432.56/8,876.76 = 3,638/x
  3. Step 3: Cross multiply
    6,432.56x = 8,876.76 × 3,638
  4. Step 4: Simplify right side
    6,432.56x = 32,293,652.88
  5. Step 5: Solve for x
    x = 32,293,652.88/6,432.56
  6. Step 6: Final answer
    x = 5,020.34

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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.