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Finding the Fourth Proportional to 5,928.39, 8,893.50 and 1,978.43

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Solution

The fourth proportional to 5,928.39, 8,893.50 and 1,978.43 is: 2,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.39 : 8,893.50 = 1,978.43 : x
  2. Step 2: Convert to fraction form
    5,928.39/8,893.50 = 1,978.43/x
  3. Step 3: Cross multiply
    5,928.39x = 8,893.50 × 1,978.43
  4. Step 4: Simplify right side
    5,928.39x = 17,595,115.32
  5. Step 5: Solve for x
    x = 17,595,115.32/5,928.39
  6. Step 6: Final answer
    x = 2,967.94

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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.