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Finding the Fourth Proportional to 5,108.34, 7,661.34 and 1,821.36

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Solution

The fourth proportional to 5,108.34, 7,661.34 and 1,821.36 is: 2,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.34 : 7,661.34 = 1,821.36 : x
  2. Step 2: Convert to fraction form
    5,108.34/7,661.34 = 1,821.36/x
  3. Step 3: Cross multiply
    5,108.34x = 7,661.34 × 1,821.36
  4. Step 4: Simplify right side
    5,108.34x = 13,954,058.22
  5. Step 5: Solve for x
    x = 13,954,058.22/5,108.34
  6. Step 6: Final answer
    x = 2,731.62

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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.