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Finding the Fourth Proportional to 3,665.88, 5,499.68 and 1,200.69

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Solution

The fourth proportional to 3,665.88, 5,499.68 and 1,200.69 is: 1,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.88 : 5,499.68 = 1,200.69 : x
  2. Step 2: Convert to fraction form
    3,665.88/5,499.68 = 1,200.69/x
  3. Step 3: Cross multiply
    3,665.88x = 5,499.68 × 1,200.69
  4. Step 4: Simplify right side
    3,665.88x = 6,603,410.78
  5. Step 5: Solve for x
    x = 6,603,410.78/3,665.88
  6. Step 6: Final answer
    x = 1,801.32

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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.