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Finding the Fourth Proportional to 5,682.84, 8,517.96 and 4,291.67

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Solution

The fourth proportional to 5,682.84, 8,517.96 and 4,291.67 is: 6,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.84 : 8,517.96 = 4,291.67 : x
  2. Step 2: Convert to fraction form
    5,682.84/8,517.96 = 4,291.67/x
  3. Step 3: Cross multiply
    5,682.84x = 8,517.96 × 4,291.67
  4. Step 4: Simplify right side
    5,682.84x = 36,556,230.80
  5. Step 5: Solve for x
    x = 36,556,230.80/5,682.84
  6. Step 6: Final answer
    x = 6,432.74

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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.