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Finding the Fourth Proportional to 5,167.50, 7,135.18 and 3,178.94

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Solution

The fourth proportional to 5,167.50, 7,135.18 and 3,178.94 is: 4,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.50 : 7,135.18 = 3,178.94 : x
  2. Step 2: Convert to fraction form
    5,167.50/7,135.18 = 3,178.94/x
  3. Step 3: Cross multiply
    5,167.50x = 7,135.18 × 3,178.94
  4. Step 4: Simplify right side
    5,167.50x = 22,682,309.11
  5. Step 5: Solve for x
    x = 22,682,309.11/5,167.50
  6. Step 6: Final answer
    x = 4,389.42

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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.