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Finding the Fourth Proportional to 3,859.12, 5,780.60 and 3,199.43

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Solution

The fourth proportional to 3,859.12, 5,780.60 and 3,199.43 is: 4,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.12 : 5,780.60 = 3,199.43 : x
  2. Step 2: Convert to fraction form
    3,859.12/5,780.60 = 3,199.43/x
  3. Step 3: Cross multiply
    3,859.12x = 5,780.60 × 3,199.43
  4. Step 4: Simplify right side
    3,859.12x = 18,494,625.06
  5. Step 5: Solve for x
    x = 18,494,625.06/3,859.12
  6. Step 6: Final answer
    x = 4,792.45

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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.