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Finding the Fourth Proportional to 3,093.57, 4,637.61 and 1,145.33

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Solution

The fourth proportional to 3,093.57, 4,637.61 and 1,145.33 is: 1,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.57 : 4,637.61 = 1,145.33 : x
  2. Step 2: Convert to fraction form
    3,093.57/4,637.61 = 1,145.33/x
  3. Step 3: Cross multiply
    3,093.57x = 4,637.61 × 1,145.33
  4. Step 4: Simplify right side
    3,093.57x = 5,311,570.67
  5. Step 5: Solve for x
    x = 5,311,570.67/3,093.57
  6. Step 6: Final answer
    x = 1,716.97

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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.