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Finding the Fourth Proportional to 3,650.31, 5,473.04 and 1,775.70

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Solution

The fourth proportional to 3,650.31, 5,473.04 and 1,775.70 is: 2,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.31 : 5,473.04 = 1,775.70 : x
  2. Step 2: Convert to fraction form
    3,650.31/5,473.04 = 1,775.70/x
  3. Step 3: Cross multiply
    3,650.31x = 5,473.04 × 1,775.70
  4. Step 4: Simplify right side
    3,650.31x = 9,718,468.25
  5. Step 5: Solve for x
    x = 9,718,468.25/3,650.31
  6. Step 6: Final answer
    x = 2,662.37

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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.