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Finding the Fourth Proportional to 3,665.00, 5,498.39 and 1,199.84

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Solution

The fourth proportional to 3,665.00, 5,498.39 and 1,199.84 is: 1,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.00 : 5,498.39 = 1,199.84 : x
  2. Step 2: Convert to fraction form
    3,665.00/5,498.39 = 1,199.84/x
  3. Step 3: Cross multiply
    3,665.00x = 5,498.39 × 1,199.84
  4. Step 4: Simplify right side
    3,665.00x = 6,597,163.77
  5. Step 5: Solve for x
    x = 6,597,163.77/3,665.00
  6. Step 6: Final answer
    x = 1,800.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.