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Finding the Fourth Proportional to 5,778.36, 7,971.60 and 3,387.12

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Solution

The fourth proportional to 5,778.36, 7,971.60 and 3,387.12 is: 4,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.36 : 7,971.60 = 3,387.12 : x
  2. Step 2: Convert to fraction form
    5,778.36/7,971.60 = 3,387.12/x
  3. Step 3: Cross multiply
    5,778.36x = 7,971.60 × 3,387.12
  4. Step 4: Simplify right side
    5,778.36x = 27,000,754.33
  5. Step 5: Solve for x
    x = 27,000,754.33/5,778.36
  6. Step 6: Final answer
    x = 4,672.74

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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.