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Finding the Fourth Proportional to 3,768.73, 5,652.23 and 1,428.99

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Solution

The fourth proportional to 3,768.73, 5,652.23 and 1,428.99 is: 2,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.73 : 5,652.23 = 1,428.99 : x
  2. Step 2: Convert to fraction form
    3,768.73/5,652.23 = 1,428.99/x
  3. Step 3: Cross multiply
    3,768.73x = 5,652.23 × 1,428.99
  4. Step 4: Simplify right side
    3,768.73x = 8,076,991.64
  5. Step 5: Solve for x
    x = 8,076,991.64/3,768.73
  6. Step 6: Final answer
    x = 2,143.16

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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.