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Finding the Fourth Proportional to 5,688.63, 7,850.21 and 3,170.66

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Solution

The fourth proportional to 5,688.63, 7,850.21 and 3,170.66 is: 4,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.63 : 7,850.21 = 3,170.66 : x
  2. Step 2: Convert to fraction form
    5,688.63/7,850.21 = 3,170.66/x
  3. Step 3: Cross multiply
    5,688.63x = 7,850.21 × 3,170.66
  4. Step 4: Simplify right side
    5,688.63x = 24,890,291.73
  5. Step 5: Solve for x
    x = 24,890,291.73/5,688.63
  6. Step 6: Final answer
    x = 4,375.45

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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.