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Finding the Fourth Proportional to 4,167.46, 5,745.30 and 2,906.68

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Solution

The fourth proportional to 4,167.46, 5,745.30 and 2,906.68 is: 4,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.46 : 5,745.30 = 2,906.68 : x
  2. Step 2: Convert to fraction form
    4,167.46/5,745.30 = 2,906.68/x
  3. Step 3: Cross multiply
    4,167.46x = 5,745.30 × 2,906.68
  4. Step 4: Simplify right side
    4,167.46x = 16,699,748.60
  5. Step 5: Solve for x
    x = 16,699,748.60/4,167.46
  6. Step 6: Final answer
    x = 4,007.18

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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.