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Finding the Fourth Proportional to 3,546, 4,893.37 and 1,952.66

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Solution

The fourth proportional to 3,546, 4,893.37 and 1,952.66 is: 2,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 4,893.37 = 1,952.66 : x
  2. Step 2: Convert to fraction form
    3,546/4,893.37 = 1,952.66/x
  3. Step 3: Cross multiply
    3,546x = 4,893.37 × 1,952.66
  4. Step 4: Simplify right side
    3,546x = 9,555,095.22
  5. Step 5: Solve for x
    x = 9,555,095.22/3,546
  6. Step 6: Final answer
    x = 2,694.61

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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.