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Finding the Fourth Proportional to 5,189.40, 7,125.17 and 5,054.09

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Solution

The fourth proportional to 5,189.40, 7,125.17 and 5,054.09 is: 6,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.40 : 7,125.17 = 5,054.09 : x
  2. Step 2: Convert to fraction form
    5,189.40/7,125.17 = 5,054.09/x
  3. Step 3: Cross multiply
    5,189.40x = 7,125.17 × 5,054.09
  4. Step 4: Simplify right side
    5,189.40x = 36,011,189.55
  5. Step 5: Solve for x
    x = 36,011,189.55/5,189.40
  6. Step 6: Final answer
    x = 6,939.37

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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.