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Finding the Fourth Proportional to 3,757.58, 5,186.66 and 2,638.79

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Solution

The fourth proportional to 3,757.58, 5,186.66 and 2,638.79 is: 3,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.58 : 5,186.66 = 2,638.79 : x
  2. Step 2: Convert to fraction form
    3,757.58/5,186.66 = 2,638.79/x
  3. Step 3: Cross multiply
    3,757.58x = 5,186.66 × 2,638.79
  4. Step 4: Simplify right side
    3,757.58x = 13,686,506.54
  5. Step 5: Solve for x
    x = 13,686,506.54/3,757.58
  6. Step 6: Final answer
    x = 3,642.37

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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.