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Finding the Fourth Proportional to 4,272.56, 6,416.16 and 2,638.76

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Solution

The fourth proportional to 4,272.56, 6,416.16 and 2,638.76 is: 3,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.56 : 6,416.16 = 2,638.76 : x
  2. Step 2: Convert to fraction form
    4,272.56/6,416.16 = 2,638.76/x
  3. Step 3: Cross multiply
    4,272.56x = 6,416.16 × 2,638.76
  4. Step 4: Simplify right side
    4,272.56x = 16,930,706.36
  5. Step 5: Solve for x
    x = 16,930,706.36/4,272.56
  6. Step 6: Final answer
    x = 3,962.66

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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.