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Finding the Fourth Proportional to 5,768.09, 8,651.88 and 1,608.02

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Solution

The fourth proportional to 5,768.09, 8,651.88 and 1,608.02 is: 2,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.09 : 8,651.88 = 1,608.02 : x
  2. Step 2: Convert to fraction form
    5,768.09/8,651.88 = 1,608.02/x
  3. Step 3: Cross multiply
    5,768.09x = 8,651.88 × 1,608.02
  4. Step 4: Simplify right side
    5,768.09x = 13,912,385.26
  5. Step 5: Solve for x
    x = 13,912,385.26/5,768.09
  6. Step 6: Final answer
    x = 2,411.96

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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.