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Finding the Fourth Proportional to 3,666.67, 5,500.46 and 1,201.74

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Solution

The fourth proportional to 3,666.67, 5,500.46 and 1,201.74 is: 1,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.67 : 5,500.46 = 1,201.74 : x
  2. Step 2: Convert to fraction form
    3,666.67/5,500.46 = 1,201.74/x
  3. Step 3: Cross multiply
    3,666.67x = 5,500.46 × 1,201.74
  4. Step 4: Simplify right side
    3,666.67x = 6,610,098.42
  5. Step 5: Solve for x
    x = 6,610,098.42/3,666.67
  6. Step 6: Final answer
    x = 1,802.75

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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.