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Finding the Fourth Proportional to 5,612.88, 8,419.41 and 3,978.30

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Solution

The fourth proportional to 5,612.88, 8,419.41 and 3,978.30 is: 5,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.88 : 8,419.41 = 3,978.30 : x
  2. Step 2: Convert to fraction form
    5,612.88/8,419.41 = 3,978.30/x
  3. Step 3: Cross multiply
    5,612.88x = 8,419.41 × 3,978.30
  4. Step 4: Simplify right side
    5,612.88x = 33,494,938.80
  5. Step 5: Solve for x
    x = 33,494,938.80/5,612.88
  6. Step 6: Final answer
    x = 5,967.51

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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.