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Finding the Fourth Proportional to 5,245.57, 7,171.33 and 5,245.57

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Solution

The fourth proportional to 5,245.57, 7,171.33 and 5,245.57 is: 7,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.57 : 7,171.33 = 5,245.57 : x
  2. Step 2: Convert to fraction form
    5,245.57/7,171.33 = 5,245.57/x
  3. Step 3: Cross multiply
    5,245.57x = 7,171.33 × 5,245.57
  4. Step 4: Simplify right side
    5,245.57x = 37,617,713.51
  5. Step 5: Solve for x
    x = 37,617,713.51/5,245.57
  6. Step 6: Final answer
    x = 7,171.33

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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.