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Finding the Fourth Proportional to 3,404.09, 5,108.93 and 1,761.14

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Solution

The fourth proportional to 3,404.09, 5,108.93 and 1,761.14 is: 2,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.09 : 5,108.93 = 1,761.14 : x
  2. Step 2: Convert to fraction form
    3,404.09/5,108.93 = 1,761.14/x
  3. Step 3: Cross multiply
    3,404.09x = 5,108.93 × 1,761.14
  4. Step 4: Simplify right side
    3,404.09x = 8,997,540.98
  5. Step 5: Solve for x
    x = 8,997,540.98/3,404.09
  6. Step 6: Final answer
    x = 2,643.16

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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.