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Finding the Fourth Proportional to 3,759.77, 5,186.74 and 2,433.90

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Solution

The fourth proportional to 3,759.77, 5,186.74 and 2,433.90 is: 3,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.77 : 5,186.74 = 2,433.90 : x
  2. Step 2: Convert to fraction form
    3,759.77/5,186.74 = 2,433.90/x
  3. Step 3: Cross multiply
    3,759.77x = 5,186.74 × 2,433.90
  4. Step 4: Simplify right side
    3,759.77x = 12,624,006.49
  5. Step 5: Solve for x
    x = 12,624,006.49/3,759.77
  6. Step 6: Final answer
    x = 3,357.65

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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.