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Finding the Fourth Proportional to 3,859, 5,327.98 and 2,389.56

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Solution

The fourth proportional to 3,859, 5,327.98 and 2,389.56 is: 3,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859 : 5,327.98 = 2,389.56 : x
  2. Step 2: Convert to fraction form
    3,859/5,327.98 = 2,389.56/x
  3. Step 3: Cross multiply
    3,859x = 5,327.98 × 2,389.56
  4. Step 4: Simplify right side
    3,859x = 12,731,527.89
  5. Step 5: Solve for x
    x = 12,731,527.89/3,859
  6. Step 6: Final answer
    x = 3,299.18

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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.