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Finding the Fourth Proportional to 4,181.54, 5,771.88 and 3,006.02

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Solution

The fourth proportional to 4,181.54, 5,771.88 and 3,006.02 is: 4,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.54 : 5,771.88 = 3,006.02 : x
  2. Step 2: Convert to fraction form
    4,181.54/5,771.88 = 3,006.02/x
  3. Step 3: Cross multiply
    4,181.54x = 5,771.88 × 3,006.02
  4. Step 4: Simplify right side
    4,181.54x = 17,350,401.15
  5. Step 5: Solve for x
    x = 17,350,401.15/4,181.54
  6. Step 6: Final answer
    x = 4,149.29

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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.