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Finding the Fourth Proportional to 4,181.12, 5,766.88 and 3,003.40

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Solution

The fourth proportional to 4,181.12, 5,766.88 and 3,003.40 is: 4,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.12 : 5,766.88 = 3,003.40 : x
  2. Step 2: Convert to fraction form
    4,181.12/5,766.88 = 3,003.40/x
  3. Step 3: Cross multiply
    4,181.12x = 5,766.88 × 3,003.40
  4. Step 4: Simplify right side
    4,181.12x = 17,320,247.39
  5. Step 5: Solve for x
    x = 17,320,247.39/4,181.12
  6. Step 6: Final answer
    x = 4,142.49

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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.