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Finding the Fourth Proportional to 3,790.94, 5,689.44 and 1,601.17

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Solution

The fourth proportional to 3,790.94, 5,689.44 and 1,601.17 is: 2,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.94 : 5,689.44 = 1,601.17 : x
  2. Step 2: Convert to fraction form
    3,790.94/5,689.44 = 1,601.17/x
  3. Step 3: Cross multiply
    3,790.94x = 5,689.44 × 1,601.17
  4. Step 4: Simplify right side
    3,790.94x = 9,109,746.42
  5. Step 5: Solve for x
    x = 9,109,746.42/3,790.94
  6. Step 6: Final answer
    x = 2,403.03

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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.