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Finding the Fourth Proportional to 3,764.58, 5,195.31 and 2,170.63

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Solution

The fourth proportional to 3,764.58, 5,195.31 and 2,170.63 is: 2,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.58 : 5,195.31 = 2,170.63 : x
  2. Step 2: Convert to fraction form
    3,764.58/5,195.31 = 2,170.63/x
  3. Step 3: Cross multiply
    3,764.58x = 5,195.31 × 2,170.63
  4. Step 4: Simplify right side
    3,764.58x = 11,277,094.10
  5. Step 5: Solve for x
    x = 11,277,094.10/3,764.58
  6. Step 6: Final answer
    x = 2,995.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.