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Finding the Fourth Proportional to 3,665.36, 5,498.72 and 1,201.92

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Solution

The fourth proportional to 3,665.36, 5,498.72 and 1,201.92 is: 1,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.36 : 5,498.72 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    3,665.36/5,498.72 = 1,201.92/x
  3. Step 3: Cross multiply
    3,665.36x = 5,498.72 × 1,201.92
  4. Step 4: Simplify right side
    3,665.36x = 6,609,021.54
  5. Step 5: Solve for x
    x = 6,609,021.54/3,665.36
  6. Step 6: Final answer
    x = 1,803.10

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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.