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Finding the Fourth Proportional to 4,805.25, 7,190.10 and 4,102.68

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Solution

The fourth proportional to 4,805.25, 7,190.10 and 4,102.68 is: 6,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.25 : 7,190.10 = 4,102.68 : x
  2. Step 2: Convert to fraction form
    4,805.25/7,190.10 = 4,102.68/x
  3. Step 3: Cross multiply
    4,805.25x = 7,190.10 × 4,102.68
  4. Step 4: Simplify right side
    4,805.25x = 29,498,663.07
  5. Step 5: Solve for x
    x = 29,498,663.07/4,805.25
  6. Step 6: Final answer
    x = 6,138.84

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