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Finding the Fourth Proportional to 4,216.50, 5,813.36 and 3,457.49

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Solution

The fourth proportional to 4,216.50, 5,813.36 and 3,457.49 is: 4,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.50 : 5,813.36 = 3,457.49 : x
  2. Step 2: Convert to fraction form
    4,216.50/5,813.36 = 3,457.49/x
  3. Step 3: Cross multiply
    4,216.50x = 5,813.36 × 3,457.49
  4. Step 4: Simplify right side
    4,216.50x = 20,099,610.40
  5. Step 5: Solve for x
    x = 20,099,610.40/4,216.50
  6. Step 6: Final answer
    x = 4,766.89

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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.