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Finding the Fourth Proportional to 5,852.10, 8,076.02 and 3,199.62

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Solution

The fourth proportional to 5,852.10, 8,076.02 and 3,199.62 is: 4,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.10 : 8,076.02 = 3,199.62 : x
  2. Step 2: Convert to fraction form
    5,852.10/8,076.02 = 3,199.62/x
  3. Step 3: Cross multiply
    5,852.10x = 8,076.02 × 3,199.62
  4. Step 4: Simplify right side
    5,852.10x = 25,840,195.11
  5. Step 5: Solve for x
    x = 25,840,195.11/5,852.10
  6. Step 6: Final answer
    x = 4,415.54

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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.