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Finding the Fourth Proportional to 5,736.32, 8,608.34 and 2,038.60

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Solution

The fourth proportional to 5,736.32, 8,608.34 and 2,038.60 is: 3,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.32 : 8,608.34 = 2,038.60 : x
  2. Step 2: Convert to fraction form
    5,736.32/8,608.34 = 2,038.60/x
  3. Step 3: Cross multiply
    5,736.32x = 8,608.34 × 2,038.60
  4. Step 4: Simplify right side
    5,736.32x = 17,548,977.78
  5. Step 5: Solve for x
    x = 17,548,977.78/5,736.32
  6. Step 6: Final answer
    x = 3,059.28

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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.