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Finding the Fourth Proportional to 3,485.81, 5,232.36 and 2,562.41

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Solution

The fourth proportional to 3,485.81, 5,232.36 and 2,562.41 is: 3,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.81 : 5,232.36 = 2,562.41 : x
  2. Step 2: Convert to fraction form
    3,485.81/5,232.36 = 2,562.41/x
  3. Step 3: Cross multiply
    3,485.81x = 5,232.36 × 2,562.41
  4. Step 4: Simplify right side
    3,485.81x = 13,407,451.59
  5. Step 5: Solve for x
    x = 13,407,451.59/3,485.81
  6. Step 6: Final answer
    x = 3,846.29

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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.