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Finding the Fourth Proportional to 3,665.37, 5,498.91 and 1,200.39

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Solution

The fourth proportional to 3,665.37, 5,498.91 and 1,200.39 is: 1,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.37 : 5,498.91 = 1,200.39 : x
  2. Step 2: Convert to fraction form
    3,665.37/5,498.91 = 1,200.39/x
  3. Step 3: Cross multiply
    3,665.37x = 5,498.91 × 1,200.39
  4. Step 4: Simplify right side
    3,665.37x = 6,600,836.57
  5. Step 5: Solve for x
    x = 6,600,836.57/3,665.37
  6. Step 6: Final answer
    x = 1,800.87

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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.