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Finding the Fourth Proportional to 3,410.51, 5,116.97 and 1,767.83

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Solution

The fourth proportional to 3,410.51, 5,116.97 and 1,767.83 is: 2,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.51 : 5,116.97 = 1,767.83 : x
  2. Step 2: Convert to fraction form
    3,410.51/5,116.97 = 1,767.83/x
  3. Step 3: Cross multiply
    3,410.51x = 5,116.97 × 1,767.83
  4. Step 4: Simplify right side
    3,410.51x = 9,045,911.91
  5. Step 5: Solve for x
    x = 9,045,911.91/3,410.51
  6. Step 6: Final answer
    x = 2,652.37

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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.