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Finding the Fourth Proportional to 5,187.18, 7,775.82 and 1,722

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Solution

The fourth proportional to 5,187.18, 7,775.82 and 1,722 is: 2,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.18 : 7,775.82 = 1,722 : x
  2. Step 2: Convert to fraction form
    5,187.18/7,775.82 = 1,722/x
  3. Step 3: Cross multiply
    5,187.18x = 7,775.82 × 1,722
  4. Step 4: Simplify right side
    5,187.18x = 13,389,962.04
  5. Step 5: Solve for x
    x = 13,389,962.04/5,187.18
  6. Step 6: Final answer
    x = 2,581.36

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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.