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Finding the Fourth Proportional to 4,193.34, 5,786.74 and 2,304.99

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Solution

The fourth proportional to 4,193.34, 5,786.74 and 2,304.99 is: 3,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.34 : 5,786.74 = 2,304.99 : x
  2. Step 2: Convert to fraction form
    4,193.34/5,786.74 = 2,304.99/x
  3. Step 3: Cross multiply
    4,193.34x = 5,786.74 × 2,304.99
  4. Step 4: Simplify right side
    4,193.34x = 13,338,380.71
  5. Step 5: Solve for x
    x = 13,338,380.71/4,193.34
  6. Step 6: Final answer
    x = 3,180.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.