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Finding the Fourth Proportional to 5,689.60, 7,850.70 and 3,171.16

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Solution

The fourth proportional to 5,689.60, 7,850.70 and 3,171.16 is: 4,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.60 : 7,850.70 = 3,171.16 : x
  2. Step 2: Convert to fraction form
    5,689.60/7,850.70 = 3,171.16/x
  3. Step 3: Cross multiply
    5,689.60x = 7,850.70 × 3,171.16
  4. Step 4: Simplify right side
    5,689.60x = 24,895,809.96
  5. Step 5: Solve for x
    x = 24,895,809.96/5,689.60
  6. Step 6: Final answer
    x = 4,375.67

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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.