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Finding the Fourth Proportional to 3,665.42, 5,498.79 and 1,200.36

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Solution

The fourth proportional to 3,665.42, 5,498.79 and 1,200.36 is: 1,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.42 : 5,498.79 = 1,200.36 : x
  2. Step 2: Convert to fraction form
    3,665.42/5,498.79 = 1,200.36/x
  3. Step 3: Cross multiply
    3,665.42x = 5,498.79 × 1,200.36
  4. Step 4: Simplify right side
    3,665.42x = 6,600,527.56
  5. Step 5: Solve for x
    x = 6,600,527.56/3,665.42
  6. Step 6: Final answer
    x = 1,800.76

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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.