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Finding the Fourth Proportional to 5,167.50, 7,118.50 and 3,747.02

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Solution

The fourth proportional to 5,167.50, 7,118.50 and 3,747.02 is: 5,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.50 : 7,118.50 = 3,747.02 : x
  2. Step 2: Convert to fraction form
    5,167.50/7,118.50 = 3,747.02/x
  3. Step 3: Cross multiply
    5,167.50x = 7,118.50 × 3,747.02
  4. Step 4: Simplify right side
    5,167.50x = 26,673,107.54
  5. Step 5: Solve for x
    x = 26,673,107.54/5,167.50
  6. Step 6: Final answer
    x = 5,161.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.