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Finding the Fourth Proportional to 3,346.12, 5,009.92 and 1,694.60

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Solution

The fourth proportional to 3,346.12, 5,009.92 and 1,694.60 is: 2,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.12 : 5,009.92 = 1,694.60 : x
  2. Step 2: Convert to fraction form
    3,346.12/5,009.92 = 1,694.60/x
  3. Step 3: Cross multiply
    3,346.12x = 5,009.92 × 1,694.60
  4. Step 4: Simplify right side
    3,346.12x = 8,489,810.43
  5. Step 5: Solve for x
    x = 8,489,810.43/3,346.12
  6. Step 6: Final answer
    x = 2,537.21

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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.