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Finding the Fourth Proportional to 5,066, 7,596.36 and 2,290.28

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Solution

The fourth proportional to 5,066, 7,596.36 and 2,290.28 is: 3,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066 : 7,596.36 = 2,290.28 : x
  2. Step 2: Convert to fraction form
    5,066/7,596.36 = 2,290.28/x
  3. Step 3: Cross multiply
    5,066x = 7,596.36 × 2,290.28
  4. Step 4: Simplify right side
    5,066x = 17,397,791.38
  5. Step 5: Solve for x
    x = 17,397,791.38/5,066
  6. Step 6: Final answer
    x = 3,434.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.