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Finding the Fourth Proportional to 4,086.74, 5,629.17 and 3,200.98

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Solution

The fourth proportional to 4,086.74, 5,629.17 and 3,200.98 is: 4,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.74 : 5,629.17 = 3,200.98 : x
  2. Step 2: Convert to fraction form
    4,086.74/5,629.17 = 3,200.98/x
  3. Step 3: Cross multiply
    4,086.74x = 5,629.17 × 3,200.98
  4. Step 4: Simplify right side
    4,086.74x = 18,018,860.59
  5. Step 5: Solve for x
    x = 18,018,860.59/4,086.74
  6. Step 6: Final answer
    x = 4,409.10

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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.