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Finding the Fourth Proportional to 5,682.96, 8,513.51 and 4,217.67

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Solution

The fourth proportional to 5,682.96, 8,513.51 and 4,217.67 is: 6,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.96 : 8,513.51 = 4,217.67 : x
  2. Step 2: Convert to fraction form
    5,682.96/8,513.51 = 4,217.67/x
  3. Step 3: Cross multiply
    5,682.96x = 8,513.51 × 4,217.67
  4. Step 4: Simplify right side
    5,682.96x = 35,907,154.63
  5. Step 5: Solve for x
    x = 35,907,154.63/5,682.96
  6. Step 6: Final answer
    x = 6,318.39

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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.