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Finding the Fourth Proportional to 3,672.82, 5,513.34 and 2,442.64

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Solution

The fourth proportional to 3,672.82, 5,513.34 and 2,442.64 is: 3,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.82 : 5,513.34 = 2,442.64 : x
  2. Step 2: Convert to fraction form
    3,672.82/5,513.34 = 2,442.64/x
  3. Step 3: Cross multiply
    3,672.82x = 5,513.34 × 2,442.64
  4. Step 4: Simplify right side
    3,672.82x = 13,467,104.82
  5. Step 5: Solve for x
    x = 13,467,104.82/3,672.82
  6. Step 6: Final answer
    x = 3,666.69

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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.