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Finding the Fourth Proportional to 4,805.25, 7,182.50 and 4,175.61

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Solution

The fourth proportional to 4,805.25, 7,182.50 and 4,175.61 is: 6,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.25 : 7,182.50 = 4,175.61 : x
  2. Step 2: Convert to fraction form
    4,805.25/7,182.50 = 4,175.61/x
  3. Step 3: Cross multiply
    4,805.25x = 7,182.50 × 4,175.61
  4. Step 4: Simplify right side
    4,805.25x = 29,991,318.83
  5. Step 5: Solve for x
    x = 29,991,318.83/4,805.25
  6. Step 6: Final answer
    x = 6,241.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.