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Finding the Fourth Proportional to 5,562.44, 7,676.13 and 3,044.50

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Solution

The fourth proportional to 5,562.44, 7,676.13 and 3,044.50 is: 4,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.44 : 7,676.13 = 3,044.50 : x
  2. Step 2: Convert to fraction form
    5,562.44/7,676.13 = 3,044.50/x
  3. Step 3: Cross multiply
    5,562.44x = 7,676.13 × 3,044.50
  4. Step 4: Simplify right side
    5,562.44x = 23,369,975.96
  5. Step 5: Solve for x
    x = 23,369,975.96/5,562.44
  6. Step 6: Final answer
    x = 4,201.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.