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Finding the Fourth Proportional to 5,244.57, 7,169.96 and 5,244.57

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Solution

The fourth proportional to 5,244.57, 7,169.96 and 5,244.57 is: 7,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.57 : 7,169.96 = 5,244.57 : x
  2. Step 2: Convert to fraction form
    5,244.57/7,169.96 = 5,244.57/x
  3. Step 3: Cross multiply
    5,244.57x = 7,169.96 × 5,244.57
  4. Step 4: Simplify right side
    5,244.57x = 37,603,370.23
  5. Step 5: Solve for x
    x = 37,603,370.23/5,244.57
  6. Step 6: Final answer
    x = 7,169.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.