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Finding the Fourth Proportional to 3,757.39, 5,637.38 and 1,678.83

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Solution

The fourth proportional to 3,757.39, 5,637.38 and 1,678.83 is: 2,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.39 : 5,637.38 = 1,678.83 : x
  2. Step 2: Convert to fraction form
    3,757.39/5,637.38 = 1,678.83/x
  3. Step 3: Cross multiply
    3,757.39x = 5,637.38 × 1,678.83
  4. Step 4: Simplify right side
    3,757.39x = 9,464,202.67
  5. Step 5: Solve for x
    x = 9,464,202.67/3,757.39
  6. Step 6: Final answer
    x = 2,518.82

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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.