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Finding the Fourth Proportional to 3,462.69, 5,185.80 and 3,290.43

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Solution

The fourth proportional to 3,462.69, 5,185.80 and 3,290.43 is: 4,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.69 : 5,185.80 = 3,290.43 : x
  2. Step 2: Convert to fraction form
    3,462.69/5,185.80 = 3,290.43/x
  3. Step 3: Cross multiply
    3,462.69x = 5,185.80 × 3,290.43
  4. Step 4: Simplify right side
    3,462.69x = 17,063,511.89
  5. Step 5: Solve for x
    x = 17,063,511.89/3,462.69
  6. Step 6: Final answer
    x = 4,927.82

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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.