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Finding the Fourth Proportional to 3,859.49, 5,776.60 and 2,100.10

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Solution

The fourth proportional to 3,859.49, 5,776.60 and 2,100.10 is: 3,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.49 : 5,776.60 = 2,100.10 : x
  2. Step 2: Convert to fraction form
    3,859.49/5,776.60 = 2,100.10/x
  3. Step 3: Cross multiply
    3,859.49x = 5,776.60 × 2,100.10
  4. Step 4: Simplify right side
    3,859.49x = 12,131,408.78
  5. Step 5: Solve for x
    x = 12,131,408.78/3,859.49
  6. Step 6: Final answer
    x = 3,143.27

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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.