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Finding the Fourth Proportional to 3,665.34, 5,498.02 and 892.01

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Solution

The fourth proportional to 3,665.34, 5,498.02 and 892.01 is: 1,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.34 : 5,498.02 = 892.01 : x
  2. Step 2: Convert to fraction form
    3,665.34/5,498.02 = 892.01/x
  3. Step 3: Cross multiply
    3,665.34x = 5,498.02 × 892.01
  4. Step 4: Simplify right side
    3,665.34x = 4,904,286.59
  5. Step 5: Solve for x
    x = 4,904,286.59/3,665.34
  6. Step 6: Final answer
    x = 1,338.02

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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.