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Finding the Fourth Proportional to 5,029.97, 7,511.06 and 4,107.31

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Solution

The fourth proportional to 5,029.97, 7,511.06 and 4,107.31 is: 6,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.97 : 7,511.06 = 4,107.31 : x
  2. Step 2: Convert to fraction form
    5,029.97/7,511.06 = 4,107.31/x
  3. Step 3: Cross multiply
    5,029.97x = 7,511.06 × 4,107.31
  4. Step 4: Simplify right side
    5,029.97x = 30,850,243.34
  5. Step 5: Solve for x
    x = 30,850,243.34/5,029.97
  6. Step 6: Final answer
    x = 6,133.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.