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Finding the Fourth Proportional to 3,605.99, 5,409.86 and 1,850.31

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Solution

The fourth proportional to 3,605.99, 5,409.86 and 1,850.31 is: 2,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.99 : 5,409.86 = 1,850.31 : x
  2. Step 2: Convert to fraction form
    3,605.99/5,409.86 = 1,850.31/x
  3. Step 3: Cross multiply
    3,605.99x = 5,409.86 × 1,850.31
  4. Step 4: Simplify right side
    3,605.99x = 10,009,908.81
  5. Step 5: Solve for x
    x = 10,009,908.81/3,605.99
  6. Step 6: Final answer
    x = 2,775.92

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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.