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Finding the Fourth Proportional to 5,242.28, 7,185.53 and 5,169.38

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Solution

The fourth proportional to 5,242.28, 7,185.53 and 5,169.38 is: 7,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.28 : 7,185.53 = 5,169.38 : x
  2. Step 2: Convert to fraction form
    5,242.28/7,185.53 = 5,169.38/x
  3. Step 3: Cross multiply
    5,242.28x = 7,185.53 × 5,169.38
  4. Step 4: Simplify right side
    5,242.28x = 37,144,735.07
  5. Step 5: Solve for x
    x = 37,144,735.07/5,242.28
  6. Step 6: Final answer
    x = 7,085.61

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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.