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Finding the Fourth Proportional to 3,922.26, 5,883.93 and 1,456.87

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Solution

The fourth proportional to 3,922.26, 5,883.93 and 1,456.87 is: 2,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.26 : 5,883.93 = 1,456.87 : x
  2. Step 2: Convert to fraction form
    3,922.26/5,883.93 = 1,456.87/x
  3. Step 3: Cross multiply
    3,922.26x = 5,883.93 × 1,456.87
  4. Step 4: Simplify right side
    3,922.26x = 8,572,121.10
  5. Step 5: Solve for x
    x = 8,572,121.10/3,922.26
  6. Step 6: Final answer
    x = 2,185.51

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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.