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Finding the Fourth Proportional to 5,688.82, 7,850.32 and 3,170.71

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Solution

The fourth proportional to 5,688.82, 7,850.32 and 3,170.71 is: 4,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.82 : 7,850.32 = 3,170.71 : x
  2. Step 2: Convert to fraction form
    5,688.82/7,850.32 = 3,170.71/x
  3. Step 3: Cross multiply
    5,688.82x = 7,850.32 × 3,170.71
  4. Step 4: Simplify right side
    5,688.82x = 24,891,088.13
  5. Step 5: Solve for x
    x = 24,891,088.13/5,688.82
  6. Step 6: Final answer
    x = 4,375.44

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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.