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Finding the Fourth Proportional to 5,077.49, 7,624.43 and 3,828.16

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Solution

The fourth proportional to 5,077.49, 7,624.43 and 3,828.16 is: 5,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.49 : 7,624.43 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    5,077.49/7,624.43 = 3,828.16/x
  3. Step 3: Cross multiply
    5,077.49x = 7,624.43 × 3,828.16
  4. Step 4: Simplify right side
    5,077.49x = 29,187,542.69
  5. Step 5: Solve for x
    x = 29,187,542.69/5,077.49
  6. Step 6: Final answer
    x = 5,748.43

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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.