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Finding the Fourth Proportional to 3,415.14, 5,122.74 and 1,106.64

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Solution

The fourth proportional to 3,415.14, 5,122.74 and 1,106.64 is: 1,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.14 : 5,122.74 = 1,106.64 : x
  2. Step 2: Convert to fraction form
    3,415.14/5,122.74 = 1,106.64/x
  3. Step 3: Cross multiply
    3,415.14x = 5,122.74 × 1,106.64
  4. Step 4: Simplify right side
    3,415.14x = 5,669,028.99
  5. Step 5: Solve for x
    x = 5,669,028.99/3,415.14
  6. Step 6: Final answer
    x = 1,659.97

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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.