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Finding the Fourth Proportional to 5,851.85, 8,076.10 and 3,199.65

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Solution

The fourth proportional to 5,851.85, 8,076.10 and 3,199.65 is: 4,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.85 : 8,076.10 = 3,199.65 : x
  2. Step 2: Convert to fraction form
    5,851.85/8,076.10 = 3,199.65/x
  3. Step 3: Cross multiply
    5,851.85x = 8,076.10 × 3,199.65
  4. Step 4: Simplify right side
    5,851.85x = 25,840,685.37
  5. Step 5: Solve for x
    x = 25,840,685.37/5,851.85
  6. Step 6: Final answer
    x = 4,415.82

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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.