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Finding the Fourth Proportional to 3,859.49, 5,790.20 and 2,104.08

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Solution

The fourth proportional to 3,859.49, 5,790.20 and 2,104.08 is: 3,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.49 : 5,790.20 = 2,104.08 : x
  2. Step 2: Convert to fraction form
    3,859.49/5,790.20 = 2,104.08/x
  3. Step 3: Cross multiply
    3,859.49x = 5,790.20 × 2,104.08
  4. Step 4: Simplify right side
    3,859.49x = 12,183,014.74
  5. Step 5: Solve for x
    x = 12,183,014.74/3,859.49
  6. Step 6: Final answer
    x = 3,156.64

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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.