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Finding the Fourth Proportional to 5,669.72, 7,822.02 and 4,181.18

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Solution

The fourth proportional to 5,669.72, 7,822.02 and 4,181.18 is: 5,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.72 : 7,822.02 = 4,181.18 : x
  2. Step 2: Convert to fraction form
    5,669.72/7,822.02 = 4,181.18/x
  3. Step 3: Cross multiply
    5,669.72x = 7,822.02 × 4,181.18
  4. Step 4: Simplify right side
    5,669.72x = 32,705,273.58
  5. Step 5: Solve for x
    x = 32,705,273.58/5,669.72
  6. Step 6: Final answer
    x = 5,768.41

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