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Finding the Fourth Proportional to 4,761.76, 7,136.88 and 2,020

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Solution

The fourth proportional to 4,761.76, 7,136.88 and 2,020 is: 3,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.76 : 7,136.88 = 2,020 : x
  2. Step 2: Convert to fraction form
    4,761.76/7,136.88 = 2,020/x
  3. Step 3: Cross multiply
    4,761.76x = 7,136.88 × 2,020
  4. Step 4: Simplify right side
    4,761.76x = 14,416,497.60
  5. Step 5: Solve for x
    x = 14,416,497.60/4,761.76
  6. Step 6: Final answer
    x = 3,027.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.