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Finding the Fourth Proportional to 4,175.74, 6,262.80 and 3,967.57

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Solution

The fourth proportional to 4,175.74, 6,262.80 and 3,967.57 is: 5,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.74 : 6,262.80 = 3,967.57 : x
  2. Step 2: Convert to fraction form
    4,175.74/6,262.80 = 3,967.57/x
  3. Step 3: Cross multiply
    4,175.74x = 6,262.80 × 3,967.57
  4. Step 4: Simplify right side
    4,175.74x = 24,848,097.40
  5. Step 5: Solve for x
    x = 24,848,097.40/4,175.74
  6. Step 6: Final answer
    x = 5,950.59

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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.