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Finding the Fourth Proportional to 3,650.00, 5,471.75 and 1,340.96

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Solution

The fourth proportional to 3,650.00, 5,471.75 and 1,340.96 is: 2,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.00 : 5,471.75 = 1,340.96 : x
  2. Step 2: Convert to fraction form
    3,650.00/5,471.75 = 1,340.96/x
  3. Step 3: Cross multiply
    3,650.00x = 5,471.75 × 1,340.96
  4. Step 4: Simplify right side
    3,650.00x = 7,337,373.87
  5. Step 5: Solve for x
    x = 7,337,373.87/3,650.00
  6. Step 6: Final answer
    x = 2,010.24

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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.