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Finding the Fourth Proportional to 5,688.62, 7,850.09 and 3,170.60

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Solution

The fourth proportional to 5,688.62, 7,850.09 and 3,170.60 is: 4,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.62 : 7,850.09 = 3,170.60 : x
  2. Step 2: Convert to fraction form
    5,688.62/7,850.09 = 3,170.60/x
  3. Step 3: Cross multiply
    5,688.62x = 7,850.09 × 3,170.60
  4. Step 4: Simplify right side
    5,688.62x = 24,889,495.35
  5. Step 5: Solve for x
    x = 24,889,495.35/5,688.62
  6. Step 6: Final answer
    x = 4,375.31

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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.