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Finding the Fourth Proportional to 3,410.49, 5,116.19 and 1,189.77

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Solution

The fourth proportional to 3,410.49, 5,116.19 and 1,189.77 is: 1,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.49 : 5,116.19 = 1,189.77 : x
  2. Step 2: Convert to fraction form
    3,410.49/5,116.19 = 1,189.77/x
  3. Step 3: Cross multiply
    3,410.49x = 5,116.19 × 1,189.77
  4. Step 4: Simplify right side
    3,410.49x = 6,087,083.43
  5. Step 5: Solve for x
    x = 6,087,083.43/3,410.49
  6. Step 6: Final answer
    x = 1,784.81

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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.