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Finding the Fourth Proportional to 3,793.84, 5,684.56 and 2,329.92

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Solution

The fourth proportional to 3,793.84, 5,684.56 and 2,329.92 is: 3,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.84 : 5,684.56 = 2,329.92 : x
  2. Step 2: Convert to fraction form
    3,793.84/5,684.56 = 2,329.92/x
  3. Step 3: Cross multiply
    3,793.84x = 5,684.56 × 2,329.92
  4. Step 4: Simplify right side
    3,793.84x = 13,244,570.04
  5. Step 5: Solve for x
    x = 13,244,570.04/3,793.84
  6. Step 6: Final answer
    x = 3,491.07

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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.