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Finding the Fourth Proportional to 5,245.90, 7,238.38 and 3,007.26

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Solution

The fourth proportional to 5,245.90, 7,238.38 and 3,007.26 is: 4,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.90 : 7,238.38 = 3,007.26 : x
  2. Step 2: Convert to fraction form
    5,245.90/7,238.38 = 3,007.26/x
  3. Step 3: Cross multiply
    5,245.90x = 7,238.38 × 3,007.26
  4. Step 4: Simplify right side
    5,245.90x = 21,767,690.64
  5. Step 5: Solve for x
    x = 21,767,690.64/5,245.90
  6. Step 6: Final answer
    x = 4,149.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.