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Finding the Fourth Proportional to 3,895.14, 5,843.16 and 1,122.26

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Solution

The fourth proportional to 3,895.14, 5,843.16 and 1,122.26 is: 1,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.14 : 5,843.16 = 1,122.26 : x
  2. Step 2: Convert to fraction form
    3,895.14/5,843.16 = 1,122.26/x
  3. Step 3: Cross multiply
    3,895.14x = 5,843.16 × 1,122.26
  4. Step 4: Simplify right side
    3,895.14x = 6,557,555.66
  5. Step 5: Solve for x
    x = 6,557,555.66/3,895.14
  6. Step 6: Final answer
    x = 1,683.52

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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.