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Finding the Fourth Proportional to 3,577.78, 5,367.16 and 1,238.38

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Solution

The fourth proportional to 3,577.78, 5,367.16 and 1,238.38 is: 1,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.78 : 5,367.16 = 1,238.38 : x
  2. Step 2: Convert to fraction form
    3,577.78/5,367.16 = 1,238.38/x
  3. Step 3: Cross multiply
    3,577.78x = 5,367.16 × 1,238.38
  4. Step 4: Simplify right side
    3,577.78x = 6,646,583.60
  5. Step 5: Solve for x
    x = 6,646,583.60/3,577.78
  6. Step 6: Final answer
    x = 1,857.74

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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.