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Finding the Fourth Proportional to 3,775.82, 5,665.59 and 1,697.33

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Solution

The fourth proportional to 3,775.82, 5,665.59 and 1,697.33 is: 2,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.82 : 5,665.59 = 1,697.33 : x
  2. Step 2: Convert to fraction form
    3,775.82/5,665.59 = 1,697.33/x
  3. Step 3: Cross multiply
    3,775.82x = 5,665.59 × 1,697.33
  4. Step 4: Simplify right side
    3,775.82x = 9,616,396.81
  5. Step 5: Solve for x
    x = 9,616,396.81/3,775.82
  6. Step 6: Final answer
    x = 2,546.84

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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.