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Finding the Fourth Proportional to 4,116.75, 6,174.02 and 1,155.01

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Solution

The fourth proportional to 4,116.75, 6,174.02 and 1,155.01 is: 1,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.75 : 6,174.02 = 1,155.01 : x
  2. Step 2: Convert to fraction form
    4,116.75/6,174.02 = 1,155.01/x
  3. Step 3: Cross multiply
    4,116.75x = 6,174.02 × 1,155.01
  4. Step 4: Simplify right side
    4,116.75x = 7,131,067.39
  5. Step 5: Solve for x
    x = 7,131,067.39/4,116.75
  6. Step 6: Final answer
    x = 1,732.21

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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.