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Finding the Fourth Proportional to 3,454.14, 5,182.22 and 1,606.36

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Solution

The fourth proportional to 3,454.14, 5,182.22 and 1,606.36 is: 2,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.14 : 5,182.22 = 1,606.36 : x
  2. Step 2: Convert to fraction form
    3,454.14/5,182.22 = 1,606.36/x
  3. Step 3: Cross multiply
    3,454.14x = 5,182.22 × 1,606.36
  4. Step 4: Simplify right side
    3,454.14x = 8,324,510.92
  5. Step 5: Solve for x
    x = 8,324,510.92/3,454.14
  6. Step 6: Final answer
    x = 2,410.01

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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.