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Finding the Fourth Proportional to 4,808.76, 7,213.86 and 1,520.80

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Solution

The fourth proportional to 4,808.76, 7,213.86 and 1,520.80 is: 2,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.76 : 7,213.86 = 1,520.80 : x
  2. Step 2: Convert to fraction form
    4,808.76/7,213.86 = 1,520.80/x
  3. Step 3: Cross multiply
    4,808.76x = 7,213.86 × 1,520.80
  4. Step 4: Simplify right side
    4,808.76x = 10,970,838.29
  5. Step 5: Solve for x
    x = 10,970,838.29/4,808.76
  6. Step 6: Final answer
    x = 2,281.43

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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.