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Finding the Fourth Proportional to 3,696.75, 5,546.65 and 2,714.58

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Solution

The fourth proportional to 3,696.75, 5,546.65 and 2,714.58 is: 4,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.75 : 5,546.65 = 2,714.58 : x
  2. Step 2: Convert to fraction form
    3,696.75/5,546.65 = 2,714.58/x
  3. Step 3: Cross multiply
    3,696.75x = 5,546.65 × 2,714.58
  4. Step 4: Simplify right side
    3,696.75x = 15,056,818.37
  5. Step 5: Solve for x
    x = 15,056,818.37/3,696.75
  6. Step 6: Final answer
    x = 4,072.99

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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.