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Finding the Fourth Proportional to 3,134.26, 4,696.44 and 2,546.40

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Solution

The fourth proportional to 3,134.26, 4,696.44 and 2,546.40 is: 3,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.26 : 4,696.44 = 2,546.40 : x
  2. Step 2: Convert to fraction form
    3,134.26/4,696.44 = 2,546.40/x
  3. Step 3: Cross multiply
    3,134.26x = 4,696.44 × 2,546.40
  4. Step 4: Simplify right side
    3,134.26x = 11,959,014.82
  5. Step 5: Solve for x
    x = 11,959,014.82/3,134.26
  6. Step 6: Final answer
    x = 3,815.58

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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.