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Finding the Fourth Proportional to 4,811.49, 7,216.14 and 1,523.97

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Solution

The fourth proportional to 4,811.49, 7,216.14 and 1,523.97 is: 2,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.49 : 7,216.14 = 1,523.97 : x
  2. Step 2: Convert to fraction form
    4,811.49/7,216.14 = 1,523.97/x
  3. Step 3: Cross multiply
    4,811.49x = 7,216.14 × 1,523.97
  4. Step 4: Simplify right side
    4,811.49x = 10,997,180.88
  5. Step 5: Solve for x
    x = 10,997,180.88/4,811.49
  6. Step 6: Final answer
    x = 2,285.61

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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.