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Finding the Fourth Proportional to 3,753.84, 5,632.89 and 2,022.47

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Solution

The fourth proportional to 3,753.84, 5,632.89 and 2,022.47 is: 3,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,632.89 = 2,022.47 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,632.89 = 2,022.47/x
  3. Step 3: Cross multiply
    3,753.84x = 5,632.89 × 2,022.47
  4. Step 4: Simplify right side
    3,753.84x = 11,392,347.79
  5. Step 5: Solve for x
    x = 11,392,347.79/3,753.84
  6. Step 6: Final answer
    x = 3,034.85

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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.