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Finding the Fourth Proportional to 5,924.34, 8,175.42 and 3,829.68

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Solution

The fourth proportional to 5,924.34, 8,175.42 and 3,829.68 is: 5,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.34 : 8,175.42 = 3,829.68 : x
  2. Step 2: Convert to fraction form
    5,924.34/8,175.42 = 3,829.68/x
  3. Step 3: Cross multiply
    5,924.34x = 8,175.42 × 3,829.68
  4. Step 4: Simplify right side
    5,924.34x = 31,309,242.47
  5. Step 5: Solve for x
    x = 31,309,242.47/5,924.34
  6. Step 6: Final answer
    x = 5,284.85

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